# Calculus Examples

Since integration is linear, the integral of with respect to is .

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

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

Write as a fraction with denominator .

Multiply and to get .

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

Write as a fraction with denominator .

Multiply and to get .

Evaluate at and at .

Evaluate at and at .

Raise to the power of to get .

One to any power is one.

Combine the numerators over the common denominator.

Multiply by to get .

Subtract from to get .

Write as a fraction with denominator .

Multiply and to get .

Multiply by to get .

Raise to the power of to get .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by to get .

One to any power is one.

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

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

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Multiply by to get .

Multiply by to get .

Subtract from to get .

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

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

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

Combine.

Multiply by to get .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Multiply by to get .

Multiply by to get .

Reorder terms.

The result can be shown in both exact and decimal forms.

Exact Form:

Decimal Form:

Mixed Number Form: