# Calculus Examples

Step 1

Split the single integral into multiple integrals.

Step 2

Since is constant with respect to , move out of the integral.

Step 3

By the Power Rule, the integral of with respect to is .

Step 4

Combine and .

Step 5

By the Power Rule, the integral of with respect to is .

Step 6

Step 6.1

Evaluate at and at .

Step 6.2

Evaluate at and at .

Step 6.3

Simplify.

Step 6.3.1

Raise to the power of .

Step 6.3.2

One to any power is one.

Step 6.3.3

Combine the numerators over the common denominator.

Step 6.3.4

Subtract from .

Step 6.3.5

Combine and .

Step 6.3.6

Multiply by .

Step 6.3.7

Raise to the power of .

Step 6.3.8

Combine and .

Step 6.3.9

Cancel the common factor of and .

Step 6.3.9.1

Factor out of .

Step 6.3.9.2

Cancel the common factors.

Step 6.3.9.2.1

Factor out of .

Step 6.3.9.2.2

Cancel the common factor.

Step 6.3.9.2.3

Rewrite the expression.

Step 6.3.9.2.4

Divide by .

Step 6.3.10

One to any power is one.

Step 6.3.11

Multiply by .

Step 6.3.12

To write as a fraction with a common denominator, multiply by .

Step 6.3.13

Combine and .

Step 6.3.14

Combine the numerators over the common denominator.

Step 6.3.15

Simplify the numerator.

Step 6.3.15.1

Multiply by .

Step 6.3.15.2

Subtract from .

Step 6.3.16

To write as a fraction with a common denominator, multiply by .

Step 6.3.17

To write as a fraction with a common denominator, multiply by .

Step 6.3.18

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Step 6.3.18.1

Multiply by .

Step 6.3.18.2

Multiply by .

Step 6.3.18.3

Multiply by .

Step 6.3.18.4

Multiply by .

Step 6.3.19

Combine the numerators over the common denominator.

Step 6.3.20

Simplify the numerator.

Step 6.3.20.1

Multiply by .

Step 6.3.20.2

Multiply by .

Step 6.3.20.3

Add and .

Step 7

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Step 8