Problem with integration.

When I asked matlab to make this integration,

 syms x
int(cos(x)^2/(sqrt(1+a*cos(x))+sqrt(1-a*cos(x))), 0, pi/2)

I got nothing without any error! I tried to define "a" as any constant but also I got nothing! Could you please help me?

Answer 1

[Torsten]

Try whether integration becomes easier if you write your function as

cos(x)*(sqrt(1+a*cos(x))-sqrt(1-a*cos(x)))/(2*a)

Best wishes

Torsten.

[Mariam]

Many Thanks.