Mathematics - Indefinite Integration Question with Solution | TestHub

MathematicsIndefinite IntegrationManipulating IntegrandsMedium2 minQB

MathematicsMediumsingle choice

$\int (sin x)^{c o s x - 1} (cos^{2} x - sin^{2} x ln (sin x)) d x$ equals

Answer:

Solution:

Logarithmic differentiation gives $\frac{d}{d x} (sin x)^{c o s x} = (sin x)^{c o s x - 1} [cos^{2} x - sin^{2} x ln (sin x)]$ .

Stream:JEESubject:MathematicsTopic:Indefinite IntegrationSubtopic:Manipulating Integrands

⏱ 2mℹ️ Source: QB

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