# 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 .

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 .

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

Evaluate at and at .

Evaluate at and at .

Evaluate at and at .

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 .

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 .

Multiply by to get .

Subtract from to get .

Multiply by to get .

Raise to the power of to get .

Raise to the power of to get .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by to get .

Subtract from .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by to get .

Multiply by to get .

Add and to get .

Multiply by to get .

Multiply by to get .

Add and to get .

Subtract from to get .