Trigonometric EquationEasy

Question

xf(sin x)dx is equal to

Options

A.πf(cos x)dx
B.πf(sinx)dx
C.f(sinx)dx
D.πf(sinx)dx

Solution

I = xf(sin x)dx = (π - x)f(sin x)dx
= π f(sin x)dx I
2I = πf(sin x)dx
I = f(sin x)dx = π f(sin x)dx
π f(cos x)dx

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