Let . Find .

Differentiate .

By the Sum Rule, the derivative of with respect to is .

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

Evaluate .

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

Differentiate using the Power Rule which states that is where .

Multiply by .

Subtract from .

Rewrite the problem using and .

Move the negative in front of the fraction.

Combine and .

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

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

Rewrite as .

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

Simplify.

Simplify.

Combine and .

Multiply and .

Multiply by .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Replace all occurrences of with .

Evaluate integral of x square root of 4-9x^2 with respect to x