1 / | | ________ | / 2 | \/ 1 + x dx | / 0
Integral(sqrt(1 + x^2), (x, 0, 1))
SqrtQuadraticRule(a=1, b=0, c=1, context=sqrt(x**2 + 1), symbol=x)
Add the constant of integration:
The answer is:
/ | ________ | ________ / 2 | / 2 asinh(x) x*\/ 1 + x | \/ 1 + x dx = C + -------- + ------------- | 2 2 /
___ / ___\ \/ 2 log\1 + \/ 2 / ----- + -------------- 2 2
=
___ / ___\ \/ 2 log\1 + \/ 2 / ----- + -------------- 2 2
Use the examples entering the upper and lower limits of integration.