

InterviewSolution
Saved Bookmarks
1. |
Integrate the following functions (sin^-1x)^2 |
Answer» <html><body><p></p>Solution :`<a href="https://interviewquestions.tuteehub.com/tag/int-11513" style="font-weight:bold;" target="_blank" title="Click to know more about INT">INT</a> (sin^-1 x)^2 <a href="https://interviewquestions.tuteehub.com/tag/dx-960990" style="font-weight:bold;" target="_blank" title="Click to know more about DX">DX</a> = int 1 <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> (sin^-1 x)^2 dx` <br/> =`(sin^-1 x)^<a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</a>- int 2 sin^-1 x 1/sqrt(1-x^2) x dx` <br/> =`x (sin^-1x)^2 + int (-2x)/sqrt(1-x^2) xx sin^-1x dx` <br/> =`x (sin^-1x)^2+ int (-2x)/sqrt(1-x^2) dx - int (1/sqrt(1-x^2) int (-2x)/sqrt(1-x^2) dx) dx` <br/> =`x(sin^-1x)^2+ sin^-1x xx 2 sqrt(1-x^2)- int1/sqrt(1-x^2) 2sqrt(1-x^2) dx` <br/> =`x (sin^-1 x)^2 +2 sqrt(1-x^2) sin^-1 x- 2x+c`</body></html> | |