Integral of sqrt(x^2+5) dx
The solution
The answer (Indefinite)
[src]
/ / ___\
| |x*\/ 5 | ________
| ________ 5*asinh|-------| / 2
| / 2 \ 5 / x*\/ 5 + x
| \/ x + 5 dx = C + ---------------- + -------------
| 2 2
/
∫x2+5dx=C+2xx2+5+25asinh(55x)
The graph
/ ___\
|\/ 5 |
___ 5*asinh|-----|
\/ 6 \ 5 /
----- + --------------
2 2
25asinh(55)+26
=
/ ___\
|\/ 5 |
___ 5*asinh|-----|
\/ 6 \ 5 /
----- + --------------
2 2
25asinh(55)+26
sqrt(6)/2 + 5*asinh(sqrt(5)/5)/2
Use the examples entering the upper and lower limits of integration.