# Evaluate integral of square root of 2x+1 with respect to x

Let . Then , so . Rewrite using and .
Let . Find .
Rewrite.
Divide by .
Rewrite the problem using and .
Combine and .
Since is constant with respect to , move out of the integral.
Use to rewrite as .
By the Power Rule, the integral of with respect to is .
Simplify.
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 .
Reorder terms.
Evaluate integral of square root of 2x+1 with respect to x