If f(x)= x x [0, 2 ], f(x)+f( -x)= 2 x ( 2 , ] and f(x)=f(2 -x) x ( , 2 ] , then the area…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(f(x)=\sin x \forall x \in\left[0, \frac{\pi}{2}\right], f(x)+f(\pi-x)=\)
\(2 \forall x \in\left(\frac{\pi}{2}, \pi\right]\) and \(f(x)=f(2 \pi-x) \forall x \in(\pi, 2 \pi]\),
then the area enclosed by \(y=f(x)\) and \(x-\) axis is
\(2 \forall x \in\left(\frac{\pi}{2}, \pi\right]\) and \(f(x)=f(2 \pi-x) \forall x \in(\pi, 2 \pi]\),
then the area enclosed by \(y=f(x)\) and \(x-\) axis is
- \(2 \pi\)
- \(2\)
- \(4\)
Answer
(B) 2
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