Split the single integral into multiple integrals.

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

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

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

Evaluate at and at .

Evaluate at and at .

Simplify.

Raise to the power of .

Combine and .

Raising to any positive power yields .

Multiply by .

Multiply by .

Add and .

Multiply and .

Multiply by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Multiply by .

Add and .

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

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Evaluate integral from 0 to 9 of 1/3x-2 with respect to x