Calculus Examples
Step 1
Step 1.1
Multiply both sides by .
Step 1.2
Simplify.
Step 1.2.1
Simplify the denominator.
Step 1.2.1.1
Rewrite as .
Step 1.2.1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.2.2
Multiply by .
Step 1.2.3
Simplify the numerator.
Step 1.2.3.1
Rewrite as .
Step 1.2.3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.2.4
Cancel the common factor of .
Step 1.2.4.1
Cancel the common factor.
Step 1.2.4.2
Rewrite the expression.
Step 1.2.5
Cancel the common factor of .
Step 1.2.5.1
Cancel the common factor.
Step 1.2.5.2
Divide by .
Step 1.3
Rewrite the equation.
Step 2
Step 2.1
Set up an integral on each side.
Step 2.2
Integrate the left side.
Step 2.2.1
Split the single integral into multiple integrals.
Step 2.2.2
Apply the constant rule.
Step 2.2.3
Since is constant with respect to , move out of the integral.
Step 2.2.4
By the Power Rule, the integral of with respect to is .
Step 2.2.5
Simplify.
Step 2.2.6
Reorder terms.
Step 2.3
By the Power Rule, the integral of with respect to is .
Step 2.4
Group the constant of integration on the right side as .