∫ s e c 2 x ( 1 − t a n 2 x ) c s c 2 x d x equals

Simplification gives cot 2 x . Therefore the integral is 2 1 ln ∣ sin 2 x ∣ + C .

Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationIntegrals of trigonometric functionMedium2 minQB

MathematicsMediumsingle choice

$\int \frac{( 1 - t a n ^{2} x ) c s c 2 x}{s e c ^{2} x} d x$ equals

Answer:

Solution:

Simplification gives $cot 2 x$ . Therefore the integral is $\frac{1}{2} ln ∣ sin 2 x ∣ + C$ .

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Integrals of trigonometric function

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