Let f : R → R and g : R → R be continuous functions. Then, the value of the integral _ …
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let f : R \(\text { → }\) R and g : R \(\text { → }\) R be continuous functions. Then, the value of the integral \[\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}}[f(x)+f(-x)][g(x)-g(-x)] d x\] is
- π
- 1
- - 1
- 0
Answer
(D) 0
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