5 / | | _________ | / 2 | \/ 25 + x dx | / 0
Integral(sqrt(25 + x^2), (x, 0, 5))
SqrtQuadraticRule(a=25, b=0, c=1, context=sqrt(x**2 + 25), symbol=x)
Add the constant of integration:
The answer is:
/ | /x\ _________ | _________ 25*asinh|-| / 2 | / 2 \5/ x*\/ 25 + x | \/ 25 + x dx = C + ----------- + -------------- | 2 2 /
___ / ___\ 25*\/ 2 25*log\1 + \/ 2 / -------- + ----------------- 2 2
=
___ / ___\ 25*\/ 2 25*log\1 + \/ 2 / -------- + ----------------- 2 2
Use the examples entering the upper and lower limits of integration.