# Find the Integral 1/((x^2+2)^(3/2))*(dx) Combine and .
Combine and .
Factor .
Combine and .
Combine and .
Since is constant with respect to , move out of the integral.
Let . Then , so . Rewrite using and .
Let . Find .
Differentiate .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Rewrite the problem using and .
Simplify.
Multiply and .
Move to the left of .
Since is constant with respect to , move out of the integral.
Combine fractions.
Combine and .
Apply basic rules of exponents.
Move out of the denominator by raising it to the power.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply .
Combine and .
Multiply by .
Move the negative in front of the fraction.
By the Power Rule, the integral of with respect to is .
Simplify.
Rewrite as .
Simplify.
Combine and .
Move the negative in front of the fraction.
Multiply and .
Move to the left of .
Cancel the common factor.
Rewrite the expression.
Replace all occurrences of with .
Find the Integral 1/((x^2+2)^(3/2))*(dx)     