1 / | | 2 | x*(x + 4) dx | / 0
Integral(x*(x + 4)^2, (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 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:
/ | 4 3 | 2 2 x 8*x | x*(x + 4) dx = C + 8*x + -- + ---- | 4 3 /
Use the examples entering the upper and lower limits of integration.