Assertion (A): \( \int \frac{(3-2 x)}{\sqrt{\left(4+2 x-x^{2}\right)}} d x \) \( =2 \sqrt{\left(...
Channel:
Subscribers:
456,000
Published on ● Video Link: https://www.youtube.com/watch?v=-rXp_sbM-Ns
Assertion (A): \( \int \frac{(3-2 x)}{\sqrt{\left(4+2 x-x^{2}\right)}} d x \)
\( =2 \sqrt{\left(4+2 x-x^{2}\right)}+\sin ^{-1}\left(\frac{x-1}{\sqrt{5}}\right)+C \)
Reason (R): \( \int \frac{d x}{\sqrt{\left(a^{2}-x^{2}\right)}}=\frac{x}{2} \sqrt{a^{2}-x^{2}}+\frac{a^{2}}{2} \sin ^{-1}\left(\frac{x}{a}\right)+\mathrm{C} \)
(A) Both A and R are true and R is the correct explanation of A.br(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
(E) Both A and R are false.
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live