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**WMDhamnekar** It is possible to find positive integers **A,B,C,D,E** such that $\displaystyle\int_0^{\frac{2a}{a^2+1}}\sin^{-1}\left( \frac{|1-a*x|}{\sqrt{1-x^2}} \right) dx= \frac{A}{\sqrt{a^2+1}} \sin^{-1}\left( \frac{1}{a^B} \right) - C \sin^{-1}\left( \frac{1}{a^D} \right) + \frac{E*a*\pi}{a^2+1} $

for all real numbers $a \geq 3$. What is the value of **A + B + C + D+ E ?**

**Answer** :- Answer to this question has been provided on another math and science website on internet, but I didn't understand some of the steps in that answer. I shall reproduce that answer here under this thread for clarifications on those unclear steps included in the answer within a short period of time.

Meanwhile if someone knows the answer to this question, he may reply with correct answer.