1 / | | 2 | (x - 1) dx | / 0
Integral((x - 1)^2, (x, 0, 1))
There are multiple ways to do this integral.
Let .
Then let and substitute :
The integral of is when :
Now substitute back in:
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:
Now simplify:
Add the constant of integration:
The answer is:
/ | 3 | 2 (x - 1) | (x - 1) dx = C + -------- | 3 /
Use the examples entering the upper and lower limits of integration.