Prove that \( I_{1}, I_{2}, I_{3}, \ldots \) form an AP, if (i) \( ...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=gtc36JQ-IhE



Duration: 11:25
0 views
0


Prove that \( I_{1}, I_{2}, I_{3}, \ldots \) form an AP, if
(i) \( I_{n}=\int_{0}^{\pi} \frac{\sin 2 n x}{\sin x} d x \)
(ii) \( I_{n}=\int_{0}^{\pi}\left(\frac{\sin n x}{\sin x}\right)^{2} d x \)
P
W.
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-03-21Let \( S_{n}=\sum_{k=1}^{4 n}(-1)^{\frac{k(k+1)}{2}} \cdot k^{2} \)...
2023-03-21Let \( A_{1}, G_{1}, H_{1} \) denote the arithmetic, geometric and ...
2023-03-21Statement 1 The sum of the series \[ \begin{aligned} 1+(1+2+4)+(4+6...
2023-03-21If \( S_{1}, S_{2}, S_{3} \) denote the sum of \( n \) terms of 3 a...
2023-03-21Suppose four distinct positive numbers \( a_{1}, a_{2}, a_{3}, a_{4...
2023-03-21Three friends whose ages form a GP divide a certain sum of money in...
2023-03-21Find the sum to \( n \) terms, whose \( n \)th term is \[ \tan [\al...
2023-03-21If \( \sum_{r=1}^{n} T_{r}=\frac{n}{8}(n+1)(n+2)(n+3) \), find \( \...
2023-03-21Find the sum to infinite terms of the series \[ \tan ^{-1}\left(\fr...
2023-03-21If \( \theta_{1}, \theta_{2}, \theta_{3}, \ldots, \theta_{n} \) are...
2023-03-21Prove that \( I_{1}, I_{2}, I_{3}, \ldots \) form an AP, if (i) \( ...
2023-03-21Evaluate \( S=\sum_{n=0}^{n} \frac{2^{n}}{\left(a^{2^{n}}+1\right)}...
2023-03-21Show that, \[ \begin{array}{r} \left(1+5^{-1}\right)\left(1+5^{-2}\...
2023-03-21If \( \theta_{1}, \theta_{2}, \theta_{3}, \ldots, \theta_{n} \) are...
2023-03-21If \( a_{1}, a_{2}, a_{3}, \ldots, a_{n} \) are in AP with \( a_{1}...
2023-03-21Balls are arranged in rows to form an equilateral triangle. The fir...
2023-03-21Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques...
2023-03-21Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques...
2023-03-21\begin{tabular}{l|l|c|c} \hline \multicolumn{2}{c|}{ Column I } & \...
2023-03-21Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques...
2023-03-21Statement-1 (Assertion) and Statement-2 (Reason) Each of these ques...



Tags:
pw