Mathematics · 2022
JEE Main · 30 June 2022, Shift 1 · Q25
Let f( t )=∫_0^t e^x^3(x^8/((x^6+2 x^3+2)^2)) d x. If f(1)+f^′(1)=α e -1/6, then the value of 150 α is equal to \ \ \ \.
Let $\displaystyle f(\mathrm{t})=\int_0^{\mathrm{t}} \mathrm{e}^{x^3}\left(\frac{x^8}{\left(x^6+2 x^3+2\right)^2}\right) \mathrm{d} x$. If $\displaystyle f(1)+f^{\prime}(1)=\alpha \mathrm{e}-\frac{1}{6}$, then the value of $\displaystyle 150 \alpha$ is equal to \_\_\_\_.
Official answer
16
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.