माना फलन \( f(x) \) अन्तराल \( [0, a], a \in R \) में समाकलनीय है, यदि
\[
I_{1}=\int_{0}^{\pi / ...
माना फलन \( f(x) \) अन्तराल \( [0, a], a \in R \) में समाकलनीय है, यदि
\[
I_{1}=\int_{0}^{\pi / 2} \cos \theta f\left(\sin \theta+\cos ^{2} \theta\right) d \theta
\]
तथा \( I_{2}=\int_{0}^{\pi / 2} \sin 2 \theta f\left(\sin \theta+\cos ^{2} \theta\right) d \theta \), तब
(A) \( l_{1}=l_{2} \)
(B) \( l_{1}=-l_{2} \)
(C) \( I_{1}=2 I_{2} \)
(D) \( I_{1}=-2 I_{2} \)
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