# Calculus Examples

Evaluate the Integral
Step 1
Since is constant with respect to , move out of the integral.
Step 2
By the Power Rule, the integral of with respect to is .
Step 3
Step 3.1
Combine and .
Step 3.2
Substitute and simplify.
Step 3.2.1
Evaluate at and at .
Step 3.2.2
Simplify.
Step 3.2.2.1
Raise to the power of .
Step 3.2.2.2
Raising to any positive power yields .
Step 3.2.2.3
Cancel the common factor of and .
Step 3.2.2.3.1
Factor out of .
Step 3.2.2.3.2
Cancel the common factors.
Step 3.2.2.3.2.1
Factor out of .
Step 3.2.2.3.2.2
Cancel the common factor.
Step 3.2.2.3.2.3
Rewrite the expression.
Step 3.2.2.3.2.4
Divide by .
Step 3.2.2.4
Multiply by .
Step 3.2.2.5
Step 3.2.2.6
Combine and .
Step 3.2.2.7
Multiply by .
Step 3.2.2.8
Cancel the common factor of and .
Step 3.2.2.8.1
Factor out of .
Step 3.2.2.8.2
Cancel the common factors.
Step 3.2.2.8.2.1
Factor out of .
Step 3.2.2.8.2.2
Cancel the common factor.
Step 3.2.2.8.2.3
Rewrite the expression.
Step 3.2.2.8.2.4
Divide by .
Step 4