Mathematics › Indefinite Integration
Indefinite Integration Questions
197 questions across 7 subtopics — with step-by-step solutions.
By part(23)
- The integral \int \frac{x^2 e^x}{(x+2)^2}... | Mathematics | TestHub
- Evaluate \int \frac{\ln x}{(x+1)^2} dx . | Mathematics | TestHub
- If . Then the ordered triplet is - | Mathematics | TestHub
- Let be an indefinite integral of . Stateme... | Mathematics | TestHub
- If, then, is equal to | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
- Ifthen a possible choice ofis: | Mathematics | TestHub
- Ifandsuch thatthenequals to : | Mathematics | TestHub
- Ifwhere is a constant of integration, thenis | Mathematics | TestHub
- For, if, then | Mathematics | TestHub
- , whereis a constant, thenatis equal to | Mathematics | TestHub
- Letbe a differentiable function such that,... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Ifand, thenis equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- LetIfthenis equal to | Mathematics | TestHub
- Let , where is the constant of integration... | Mathematics | TestHub
- If , where C is the constant of integratio... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- \quad \int e^{\sin x}\left(\frac{x \cos ^{... | Mathematics | TestHub
- If \phi(\mathrm{x})=\int \mathrm{e}^{\tan... | Mathematics | TestHub
General(5)
Integrals of trigonometric function(4)
Manipulating Integrands(9)
- The integral \int \frac{\cos x - \sin x}{\... | Mathematics | TestHub
- Evaluate \int e^x \frac{x^2+1}{(x+1)^2} dx . | Mathematics | TestHub
- \int \sqrt{\tan x} d x= | Mathematics | TestHub
- If \int \frac{\mathrm{x}^{4}+1}{\mathrm{x}... | Mathematics | TestHub
- \int e^{x}\left(\frac{1}{\ln x}-\frac{1}{x... | Mathematics | TestHub
- If \int e^{x}(\ln x+x \ln x+1) d x=f(x)+C... | Mathematics | TestHub
- \int(\sin x)^{\cos x-1}\left(\cos ^{2} x-\... | Mathematics | TestHub
- If f(\theta)=|3 \cos \theta-\sin \theta+2... | Mathematics | TestHub
- \int \frac{x^{2}-4 x+6}{x^{2}-2 x+4} d x e... | Mathematics | TestHub
Miscellaneous form(56)
- Match Column I to Column II. (A) If \int \... | Mathematics | TestHub
- Let for and . Then, equals | Mathematics | TestHub
- Let . Then, for an arbitrary constant , th... | Mathematics | TestHub
- If , then is equal to : | Mathematics | TestHub
- If, whereis a constant, then, is equal to | Mathematics | TestHub
- The integralis equal to | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
- If, and, then the ordered pairis equal to | Mathematics | TestHub
- Let,. If, then the ordered pair, is equal to | Mathematics | TestHub
- If, thenequal to | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- If , then ( ) is equal to (where is a cons... | Mathematics | TestHub
- If, (is a constant of integration), then t... | Mathematics | TestHub
- Letand. Ifthen the value ofis | Mathematics | TestHub
- (where is a constant of integration), then... | Mathematics | TestHub
- Let and , then the value of be | Mathematics | TestHub
- The value of , is | Mathematics | TestHub
- Let . If , then is equal to | Mathematics | TestHub
- I=\int \frac{x^{4}-1}{\left(x^{4}-x^{2}+1\... | Mathematics | TestHub
- The number of solution(s) of the equation... | Mathematics | TestHub
- If \int \frac{f(x)}{\cos x} d x is written... | Mathematics | TestHub
- Let f(\mathrm{x}) be a differentiable func... | Mathematics | TestHub
- The value of \mathrm{g}(\mathrm{x}+\mathrm... | Mathematics | TestHub
- Let I_{10}=\int\left(1-x^{5}\right)^{10} d... | Mathematics | TestHub
- The value of \int \frac{\sin 2 x+2 \tan x}... | Mathematics | TestHub
- Evaluate : \int \frac{x^{3}+3 x^{2}+x+9}{\... | Mathematics | TestHub
- If \int \frac{\cos ^{2} \mathrm{x} \sin \m... | Mathematics | TestHub
- Let f^{\prime}(x)=3 x^{2} \cdot \sin \frac... | Mathematics | TestHub
- \quad \int \sin \left(\tan ^{-1} \sqrt{\ma... | Mathematics | TestHub
- If f(\mathrm{x})=\int\left(\tan (\ell \mat... | Mathematics | TestHub
- If antiderivative of \frac{x^{3}}{\sqrt{1+... | Mathematics | TestHub
- A primitive of \frac{f(x)}{\cos x} is- | Mathematics | TestHub
- \quad \int(\tan x+2 \tan 2 x+4 \tan 4 x+8... | Mathematics | TestHub
- If 3 f\left(\frac{2 x+3}{2 x-3}\right)=2 x... | Mathematics | TestHub
- If \int \frac{x^{n} d x}{1+x+\frac{x^{2}}{... | Mathematics | TestHub
- \int\left(\sin ^{4} x+\cos ^{4} x-\sin ^{4... | Mathematics | TestHub
- \int\left(2 x+\frac{1}{x}\right) \cos \fra... | Mathematics | TestHub
- If \int\left(\log _{e x} e\right)\left(\lo... | Mathematics | TestHub
- , where \mathrm{P}(\mathrm{x}) is polynomi... | Mathematics | TestHub
- If \int \frac{x^{2}+3}{x^{4}+x^{3}-x^{2}-3... | Mathematics | TestHub
- Let F(x)=\int e^{\mathrm{sin}^{-1} x}\left... | Mathematics | TestHub
- Let f(\mathrm{x})=\frac{\mathrm{x}}{\left(... | Mathematics | TestHub
- Let f(\mathrm{x}) be a differentiable func... | Mathematics | TestHub
- Let f be a polynomial satisfying f(x)+f(1... | Mathematics | TestHub
- \int \frac{\cos ^{4} \mathrm{x} \mathrm{dx... | Mathematics | TestHub
- is equal to: | Mathematics | TestHub
- Let \int \frac{\left(5 \mathrm{x}^{4}+1\ri... | Mathematics | TestHub
- \int \frac{x d x}{\sqrt{1+x^{2}+\sqrt{\lef... | Mathematics | TestHub
- If \int g(x) d x=g(x) then \int g(x)\left(... | Mathematics | TestHub
- The value of integral \int \mathrm{e}^{\ma... | Mathematics | TestHub
- \int \frac{\sin 2 \mathrm{x}+2}{\sin 2 \ma... | Mathematics | TestHub
- \int \frac{\operatorname{cosec}^{2} \mathr... | Mathematics | TestHub
- \int \mathrm{e}^{\mathrm{x}}\left(\frac{\m... | Mathematics | TestHub
- If \int \frac{1}{\left((\mathrm{x}-1)^{3}(... | Mathematics | TestHub
- The range of f(\mathrm{x}) is- | Mathematics | TestHub
- \int \frac{\sqrt{\sec ^{5} \mathrm{x}}}{\s... | Mathematics | TestHub
Partial fraction(8)
- If then the value of is | Mathematics | TestHub
- Let. If, thenis equal to | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- If , then is equal to : | Mathematics | TestHub
- The value of \int_{0}^{2} \frac{2 x^{3}-6... | Mathematics | TestHub
- If \int \frac{3 e^{x}+5 e^{-x}}{4 e^{x}-5... | Mathematics | TestHub
- Find . | Mathematics | TestHub
Substitution(92)
- If \int\left(x^{12}+x^{8}+x^{4}\right)\lef... | Mathematics | TestHub
- The integral \int \frac{dx}{\sqrt{\sin^3 x... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- If , then value of is | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Let be an indefinite integral of . Stateme... | Mathematics | TestHub
- equals | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- The equation of tangent to the curve at th... | Mathematics | TestHub
- is a polynomial of degree | Mathematics | TestHub
- If and , then equals | Mathematics | TestHub
- If the integral , then is equal to | Mathematics | TestHub
- The integral equals (for some arbitrary co... | Mathematics | TestHub
- Evaluate: | Mathematics | TestHub
- The integral of w.r.t. is | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- The integral equals : | Mathematics | TestHub
- If the integral where is an arbitrary cons... | Mathematics | TestHub
- If then, is equal to: | Mathematics | TestHub
- The integral, is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Evaluate: | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Ifis a non-zero number andthenis equal to | Mathematics | TestHub
- The integral is equal to: | Mathematics | TestHub
- The integral, is equal to | Mathematics | TestHub
- The integral equals to | Mathematics | TestHub
- The integral, is equal to | Mathematics | TestHub
- The integralis equal to | Mathematics | TestHub
- The integral, is equal to(whereis the cons... | Mathematics | TestHub
- , is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- If,andthen the value ofis | Mathematics | TestHub
- Let, be constant.If the integral, where C... | Mathematics | TestHub
- If where is a constant of integration, the... | Mathematics | TestHub
- If for a suitable chosen integer and a fun... | Mathematics | TestHub
- The integral, is equal to | Mathematics | TestHub
- The integral, is equal to | Mathematics | TestHub
- If, then (whereis a constant of integration) | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
- The integral, is equal to | Mathematics | TestHub
- For,(the set of natural numbers), the inte... | Mathematics | TestHub
- The integralis equal to | Mathematics | TestHub
- Let,be a natural number andThenis equal to | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
- The integralis equal to: (whereis a consta... | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
- The integralis equal to, (whereis a consta... | Mathematics | TestHub
- Ifwhereis a constant of integration, then... | Mathematics | TestHub
- Let. Thenis equal to : | Mathematics | TestHub
- Ifwhere is a constant of integration, then... | Mathematics | TestHub
- equals | Mathematics | TestHub
- For real numbers and if where is an arbitr... | Mathematics | TestHub
- The integral, is equal to(whereis a consta... | Mathematics | TestHub
- Ifwhereis a constant of integration, then... | Mathematics | TestHub
- The integralis equal to (whereis a constan... | Mathematics | TestHub
- If where is the constant of integration, t... | Mathematics | TestHub
- , whereis a constant of integration, theni... | Mathematics | TestHub
- If , then value of is | Mathematics | TestHub
- The integralis equal to : (whereis a const... | Mathematics | TestHub
- Ifandthen the value ofis | Mathematics | TestHub
- Ifwhenis constant of integration, then the... | Mathematics | TestHub
- The value of is : | Mathematics | TestHub
- The value of the integralis (whereis a con... | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- The integralis equal to | Mathematics | TestHub
- Let and . If then is equal to _____. | Mathematics | TestHub
- Value of is | Mathematics | TestHub
- LetIfthenis equal to | Mathematics | TestHub
- For, if, whereandis constant of integratio... | Mathematics | TestHub
- The integralis equal to | Mathematics | TestHub
- Ifconstant, thenis equal to ______. | Mathematics | TestHub
- Let. Ifand, thenis equal to _______. | Mathematics | TestHub
- Ifwhereis the integration constant, thenis... | Mathematics | TestHub
- If where and is the constant of integratio... | Mathematics | TestHub
- If , where is the constant of integration,... | Mathematics | TestHub
- If constant, then the maximum value of , is : | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Let , where is the constant of integration... | Mathematics | TestHub
- The integralis equal to : | Mathematics | TestHub
- Let . If , then is equal to | Mathematics | TestHub
- If is the constant of integration and , th... | Mathematics | TestHub
- If , where is the constant of integration,... | Mathematics | TestHub
- Let . If , then is equal to | Mathematics | TestHub
- If , where is the constant of integration,... | Mathematics | TestHub
- \quad \int \frac{\left(x^{4}-x\right)^{1 /... | Mathematics | TestHub
- Match List I to List II. (P) Number of sol... | Mathematics | TestHub
- Let f(x)=7 \tan ^{6} x+7 \tan ^{8} x-4 \ta... | Mathematics | TestHub
- If \int \sin 4 x e^{\tan ^{2} x} d x=c-A \... | Mathematics | TestHub
- Let differentiable f satisfy f(x)=\int_{0}... | Mathematics | TestHub
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