Duration: 7:11

8 views

0

We can derive reduction formulas for the integral of the form \( \int \sin ^{n} x d x, \int \cos ^{n} x d x \int \tan ^{n} x d x \), \( \int \cot ^{n} x d x \) and other integrals of these form using integration by parts. In turn these reduction formulas can be used to compute integrals of higher power of \( \sin x, \cos x \) etc.
If \( \int \operatorname{cosec}^{n} x d x=\frac{-\operatorname{cosec}^{n-2} x \cot x}{n-1}+ \)
\( A \int \operatorname{cosec}^{n-2} x d x \) then \( A \) is equal to
(a) \( \frac{1}{n-2} \)
(b) \( \frac{n}{n-2} \)
(c) \( \frac{n-1}{n-2} \)
(d) \( \frac{n-2}{n-1} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live