JEE Main 2019 (12 January Morning Shift)

Question

Let $f$ and $g$ be continuous functions on $[0,a]$ such that $f(x)=f(a-x)$ and $g(x)+g(a-x)=4$. Then $\displaystyle \int_{0}^{a} f(x)\,g(x)\,dx$ is equal to :

Accepted Answer

$2\displaystyle\int_{0}^{a} f(x)\,dx$

Answer

$4\displaystyle\int_{0}^{a} f(x)\,dx$

Answer

$-3\displaystyle\int_{0}^{a} f(x)\,dx$

Answer

$\displaystyle\int_{0}^{a} f(x)\,dx$

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