Homework Statement
п/2
[SIZE="6"]∫dx/(2+sinx)2
0
Homework Equations
The Attempt at a Solution
п/2
[SIZE="6"]∫dx/(2 + sinx)2 =
0
п/2
∫dx/(4 + 4sinx + (sinx)2)
0
substitude t=tg x/2 => x=2arctgx
dx=2/(1+t2) dt
sinx=2t/(1+t2)
t=tgx/2 =>
1
[SIZE="6"]∫(1/(4 + 4*(2t/(1+t2))...