# Thread: more integration of inverse trig

1. ## more integration of inverse trig

differentiate (xcos-1x)-sqrt(1-x^2) and use the result to evaluate the integration of cos-1dx between x=1 and x=0

similarily, prove that d/dx (xsin-1x)=sin-1x+x/(sqrt(1-x^2)). Hence find primitive of sin-1x and show that integration of sin-1x between x=1/2 and x=0 is pi/12+sqrt3/2-1

THankyou !

2. Originally Posted by christina
differentiate (xcos-1x)-sqrt(1-x^2) and use the result to evaluate the integration of cos-1dx between x=1 and x=0

similarily, prove that d/dx (xsin-1x)=sin-1x+x/(sqrt(1-x^2)). Hence find primitive of sin-1x and show that integration of sin-1x between x=1/2 and x=0 is pi/12+sqrt3/2-1

THankyou !
Have you done either of those derivatives? Once you have, the integrals should be obvious.