5 / | | x*(x - 5) dx | / 0
Integral(x*(x - 5), (x, 0, 5))
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:
/ 2 3 | 5*x x | x*(x - 5) dx = C - ---- + -- | 2 3 /
Use the examples entering the upper and lower limits of integration.