Mathematics · 2023
JEE Main · 13 April 2023, Shift 2 · Q26
Let f_n=∫_0^((π)/2)(Σ_k=1^n sin^k-1 x)(Σ_k=1^n(2 k-1) sin^k-1 x) cos x d x, n ∈ N. Then f_21-f_20 is equal to ____
Let $\displaystyle f_n=\int_0^{\frac{\pi}{2}}\left(\sum_{k=1}^n \sin ^{k-1} x\right)\left(\sum_{k=1}^n(2 k-1) \sin ^{k-1} x\right) \cos x d x, n \in \mathbb{N}$. Then $\displaystyle f_{21}-f_{20}$ is equal to $\displaystyle \_\_\_\_$
Official answer
From NTA’s final answer key for this paper.
41
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.