\( ∈t 0 π x\ f(sin x)\ dx\) is equal to:" - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \( ∈t 0 π x\ f(sin... - Solved | MCA Prep" /> \( ∈t 0 π x\ f(sin x)\ dx\) is equal to:" - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \( ∈t 0 π x\ f(sin... - Solved | MCA Prep" /> \( ∈t 0 π x\ f(sin x)\ dx\) is equal to:" - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />
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Question 12

Mathematics Definite Integrals Hard

<span class="math-tex">\(\rm\int_0^\pi x\ f(\sin x)\ dx\)</span>&nbsp;is equal to:

(A) <span class="math-tex">\(\rm \pi \int_0^{\pi/2}f (\sin x)\ dx\)</span>
(B) <span class="math-tex">\(\rm \frac{\pi}{2} \int_0^{\pi/2}f (\sin x)\ dx\)</span>
(C) <span class="math-tex">\(\rm \pi \int_0^{\pi/2}f (\cos x)\ dx\)</span>
(D) <span class="math-tex">\(\rm \frac{\pi}{2} \int_0^{\pi}f (\cos x)\ dx\)</span>
View Dynamic Solution & Explanation ▼
Correct Solution: Option A

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