1 / | | 1 | 1*-------------- dx | 2 | 2*x + 3*x + 1 | / 0
Integral(1/(2*x^2 + 3*x + 1), (x, 0, 1))
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 a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result 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:
Add the constant of integration:
The answer is:
/ | | 1 | 1*-------------- dx = C - log(1 + x) + log(1 + 2*x) | 2 | 2*x + 3*x + 1 | /
Use the examples entering the upper and lower limits of integration.