Write as a function.

The function can be found by finding the indefinite integral of the derivative .

Set up the integral to solve.

Apply the distributive property.

Simplify the expression.

Reorder and .

Reorder and .

Add and .

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.

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

Simplify.

Simplify.

Combine and .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Combine and .

Combine and .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

The answer is the antiderivative of the function .

Find the Antiderivative x(3x-2)