1 / | | 1 | 1*-------------- dx | ________ | 2 / 2 | x *\/ 1 + x | / 0
TrigSubstitutionRule(theta=_theta, func=tan(_theta), rewritten=cos(_theta)/sin(_theta)**2, substep=URule(u_var=_u, u_func=sin(_theta), constant=1, substep=PowerRule(base=_u, exp=-2, context=_u**(-2), symbol=_u), context=cos(_theta)/sin(_theta)**2, symbol=_theta), restriction=True, context=1/(x**2*sqrt(x**2 + 1)), symbol=x)
Add the constant of integration:
The answer is:
/ ________ | / 2 | 1 \/ 1 + x | 1*-------------- dx = C - ----------- | ________ x | 2 / 2 | x *\/ 1 + x | /
Use the examples entering the upper and lower limits of integration.