1 / | | 2 | / 2\ | \1 - x / | --------- dx | t | / 0
Integral((1 - x^2)^2/t, (x, 0, 1))
The integral of a constant times a function is the constant times the integral of the function:
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 is the constant times the variable of integration:
The result is:
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | 3 5 | 2 2*x x | / 2\ x - ---- + -- | \1 - x / 3 5 | --------- dx = C + ------------- | t t | /
Use the examples entering the upper and lower limits of integration.