- #1

WMDhamnekar

MHB

- 378

- 28

$\displaystyle\int_0^{\frac{2a}{a^2+1}} sin^{-1}\big(\frac{|1-ax|}{\sqrt{1-x^2}}\big)dx=\frac{A}{\sqrt{a^2+1}}sin^{-1}\big(\frac{1}{a^B}\big ) - C sin^{-1} \big(\frac{1}{a^D}\big) + \frac {Ea\pi}{a^2+1}$ for all real numbers $ a \geq 3$.

What is the value of

**A + B + C + D + E ?**

Answer:-

Answer:-

How to answer this question?. The questioner also provided answer to this question. First he solved this question using integration by parts, then applying the substitution $(a^2+1)*x- a= a*sin\theta $. Then applying the substitution $t= tan \frac{\theta}{2} $

But I didn't understand some steps in his answer.

If any member of MHB knows the solution to this question, he may reply with correct answer.