NIMCET 2018 Mathematics Question 12 with Solution

Question 12

Mathematics Definite Integrals Hard

\(\rm\int_0^\pi x\ f(\sin x)\ dx\) is equal to:

(A) \(\rm \pi \int_0^{\pi/2}f (\sin x)\ dx\)

(B) \(\rm \frac{\pi}{2} \int_0^{\pi/2}f (\sin x)\ dx\)

(C) \(\rm \pi \int_0^{\pi/2}f (\cos x)\ dx\)

(D) \(\rm \frac{\pi}{2} \int_0^{\pi}f (\cos x)\ dx\)

View Dynamic Solution & Explanation ▼

Correct Solution: Option A

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