Factor .

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 .

Differentiate using the Power Rule which states that is where .

Add and .

Rewrite the problem using and .

Multiply and .

Move to the left of .

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

Move out of the denominator by raising it to the power.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Combine and .

Move the negative in front of the fraction.

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

Simplify.

Simplify.

Combine and .

Combine and .

Cancel the common factor.

Divide by .

Replace all occurrences of with .

Evaluate integral of x/((1+x^2)^(1/2)) with respect to x