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