Evaluate
Given, ![]()
Let![]()
![]()
![]()
dx =2t dt
Now, ![]()
![]()
Consider, t=sin k
dt=cos k dk
![]()
![]()
=2∫cos2k dk
=∫2 cos2k dk
=∫cos 2k-1 dk [since, cos 2x=2cos2x-1]
![]()
![]()
=t cos(sin-1 t) -2sin-1 t+2c
=√x cos(sin-1√x )-2 sin-1√x+2c
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.



