NVAMediumJEE Main 2023 · 13 April, Shift 2Definite Integrals

Mathematics Question from JEE Main 2023 · 13 April, Shift 2

Let fn=∫0π2(∑k=1nsin⁡k−1x)(∑k=1n(2k−1)sin⁡k−1x)cos⁡x dxf_n = \int_{0}^{\frac{\pi}{2}} \left( \sum_{k=1}^{n} \sin^{k-1}x \right) \left( \sum_{k=1}^{n} (2k-1)\sin^{k-1}x \right) \cos x \, dx, n∈Nn \in \mathbb{N}. Then f21−f20f_{21} - f_{20} is equal to _____.

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Definite Integrals questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Definite Integrals

Related questions