If ∫ sin 4 x e t a n 2 x d x = c − A cos 4 x ⋅ e t a n 2 x then A =

⇒ I = 2 ∫ ( 1 + t ) 3 ( 1 − t ) e t dt = ( 1 + t ) 2 − 2 e t + c = − 2 cos 4 xe t a n 2 x + c

Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationSubstitutionHard2 minQB

MathematicsHardinteger

If $\int sin 4 x e^{t a n^{2} x} d x = c - A cos^{4} x \cdot e^{t a n^{2} x}$ then $A =$

Answer:

Solution:

$\Rightarrow I = 2 \int \frac{( 1 - t ) e ^{t}}{( 1 + t ) ^{3}} dt = \frac{- 2 e ^{t}}{( 1 + t ) ^{2}} + c = - 2 cos^{4} xe^{t a n^{2} x} + c$

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Substitution

⏱ 2mℹ️ Source: QB

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