1 / | | 1 | 1*------------------------ dx | __________ | / 2 2 | \/ 1 - 4*x *asin (2*x) | / 0
Integral(1/(sqrt(1 - 4*x^2)*asin(2*x)^2), (x, 0, 1))
/ / | | | 1 | 1 | 1*------------------------ dx = C + | ------------------------------------ dx | __________ | _______________________ 2 | / 2 2 | \/ -(1 + 2*x)*(-1 + 2*x) *asin (2*x) | \/ 1 - 4*x *asin (2*x) | | / /
1 oo - --------- 2*asin(2)
=
1 oo - --------- 2*asin(2)
Use the examples entering the upper and lower limits of integration.