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