dx/sqrt(1-16x^2)dx
0 / | | 1 | 1*--------------*1 dx | ___________ | / 2 | \/ 1 - 16*x | / 1/4
TrigSubstitutionRule(theta=_theta, func=sin(_theta)/4, rewritten=1/4, substep=ConstantRule(constant=1/4, context=1/4, symbol=_theta), restriction=(x > -1/4) & (x < 1/4), context=1*1/sqrt(1 - 16*x**2), symbol=x)
Now simplify:
Add the constant of integration:
The answer is:
/ | | 1 //asin(4*x) \ | 1*--------------*1 dx = C + |<--------- for And(x > -1/4, x < 1/4)| | ___________ \\ 4 / | / 2 | \/ 1 - 16*x | /
Use the examples entering the upper and lower limits of integration.