# Find the Integral x/( square root of 1-x^2)

Let . Then , so . Rewrite using and .
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 .
Simplify.
Move the negative in front of the fraction.
Multiply and .
Move to the left of .
Since is constant with respect to , move out of the integral.
Since is constant with respect to , move out of the integral.
Apply basic rules of exponents.
Use to rewrite as .
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.
Simplify.
Multiply by .
Combine and .
Combine and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Replace all occurrences of with .
Find the Integral x/( square root of 1-x^2)