1/2 / | | / 3 \ | \32*x - 4*x/ dx | / -1
Integral(32*x^3 - 4*x, (x, -1, 1/2))
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:
The integral of is when :
So, the result is:
So, the result is:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | / 3 \ 2 4 | \32*x - 4*x/ dx = C - 2*x + 8*x | /
Use the examples entering the upper and lower limits of integration.