Mathematics · 2022
JEE Main · 28 July 2022, Shift 1 · Q24
If ∫_0^√ 3 (15 x^3)/(√(1+x^2+√((1+x^2)^3))) d x=α √ 2 +β √ 3, where α, β are integers, then α+β is equal to \ \ \ \.
If $\displaystyle \int_0^{\sqrt{3}} \frac{15 x^3}{\sqrt{1+x^2+\sqrt{\left(1+x^2\right)^3}}} \mathrm{~d} x=\alpha \sqrt{2}+\beta \sqrt{3}$, where $\displaystyle \alpha, \beta$ are integers, then $\displaystyle \alpha+\beta$ is equal to
\_\_\_\_.
Official answer
10
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.