# Calculus Examples

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

Add and .

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