Mathematics · 2021
JEE Main · 18 March 2021, Shift 1 · Q82
Let f(x) and g(x) be two functions satisfying f(x^2)+g(4-x)=4 x^3 and g(4-x)+g(x)=0, then the value of ∫_-4^4 f(x^2) d x is \ \ \ \.
Let $\displaystyle f(x)$ and $\displaystyle g(x)$ be two functions satisfying $\displaystyle f\left(x^2\right)+g(4-x)=4 x^3$ and $\displaystyle g(4-x)+g(x)=0$, then the value of $\displaystyle \int_{-4}^4 f\left(x^2\right) \mathrm{d} x$ is \_\_\_\_.
Official answer
512
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.