1 / | | _______ | \/ x + 1 dx | / 0
Integral(sqrt(x + 1), (x, 0, 1))
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | 3/2 | _______ 2*(x + 1) | \/ x + 1 dx = C + ------------ | 3 /
___ 2 4*\/ 2 - - + ------- 3 3
=
___ 2 4*\/ 2 - - + ------- 3 3
-2/3 + 4*sqrt(2)/3
Use the examples entering the upper and lower limits of integration.