#int_0^(pi/2) dx/(1+2sinx+cosx)#?
1 Answer
Jul 9, 2017
After using
Also, boundaries are changed: For
Hence integrand without du became,
=
=
Thus, solution of this integral,
=
=
=
=
Explanation:
1) I used u=tan(x/2) transformation
2) I rewrote sinx and cosx in terms of u
3) I changed integral boundaries in terms of u
4) I simplified integrand
5) I took integral and plugged boundaries