1 / | | _________ | \/ 4*x + 5 dx | / 0
Integral(sqrt(4*x + 5), (x, 0, 1))
Let .
Then let and substitute :
The integral of a constant times a function is the constant times the integral of the function:
The integral of is when :
So, the result is:
Now substitute back in:
Now simplify:
Add the constant of integration:
The answer is:
/ | 3/2 | _________ (4*x + 5) | \/ 4*x + 5 dx = C + ------------ | 6 /
___ 9 5*\/ 5 - - ------- 2 6
=
___ 9 5*\/ 5 - - ------- 2 6
9/2 - 5*sqrt(5)/6
Use the examples entering the upper and lower limits of integration.