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JEECUP (UP Polytechnic) Even/Odd Functions — practice questions

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If $f(x)$ is an **odd** function, then $\int_{-a}^{a} f(x)\,dx$ equals:If $f(x)$ is an **even** function, then $\int_{-a}^{a} f(x)\,dx$ equals:$\int_{-\pi/2}^{\pi/2} in^3 x\,dx$ equals:If $f(x) = x^3 in^4 x$, then $\int_{-\pi/4}^{\pi/4} f(x)\,dx$ equals:$\int_{-2}^{2} (x^3 + x^2)\,dx$ equals: