1 / | | 3 | x | ----- dx | x - 1 | / 0
Integral(x^3/(x - 1), (x, 0, 1))
Rewrite the integrand:
Integrate term-by-term:
The integral of is when :
The integral of is when :
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:
Add the constant of integration:
The answer is:
/ | | 3 2 3 | x x x | ----- dx = C + x + -- + -- + log(-1 + x) | x - 1 2 3 | /
Use the examples entering the upper and lower limits of integration.