\int_{0} ^{\\pi } {x} {f}(\sin {x}) {d} {x} is equal to:

Correct Answer is : ππ∕2∫0f(sinx)dx

\\pi\\int_{0} ^{\\pi\/ 2} {f}(\sin {x}) {dx}

{\\pi/}{2} \int_{0} ^{\\pi\/ 2} {f}(\sin {x}) {dx}

\\pi\int_{0} ^{\\pi\/ 2} {f}(\cos {x}) {dx}

\frac{\\pi}{2} \int_{0} ^{\\pi }f(\cos x) d x

UPSC NDA Math Model Paper 2

Question : 14 of 120

Marks: +1, -0

∫

xf(sin‌x)dx is equal to:

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