1 / | | x + 2 | ------ dx | 2 | x - 9 | / 0
Integral((x + 2)/(x^2 - 1*9), (x, 0, 1))
There are multiple ways to do this integral.
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:
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:
The result is:
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:
The integral of a constant times a function is the constant times the integral of the function:
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
Integrate term-by-term:
The integral of is .
The integral of a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result is:
The result is:
So, the result is:
So, the result is:
The result is:
Add the constant of integration:
The answer is:
/ | | x + 2 log(3 + x) 5*log(-3 + x) | ------ dx = C + ---------- + ------------- | 2 6 6 | x - 9 | /
log(4) 5*log(2) -log(3) + ------ + -------- 6 6
=
log(4) 5*log(2) -log(3) + ------ + -------- 6 6
Use the examples entering the upper and lower limits of integration.