oo / | | 1 | 1*------------- dx | 2 | x + 9*x + 20 | / 7
Rewrite the integrand:
Integrate term-by-term:
The integral of a constant times a function is the constant times the integral of the function:
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
So, the result is:
Let .
Then let and substitute :
The integral of is .
Now substitute back in:
The result is:
Add the constant of integration:
The answer is:
/ | | 1 | 1*------------- dx = C - log(5 + x) + log(4 + x) | 2 | x + 9*x + 20 | /
-log(11) + log(12)
=
-log(11) + log(12)
Use the examples entering the upper and lower limits of integration.