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Calculus Examples
Step 1
Step 1.1
Factor out of .
Step 1.2
Rewrite as exponentiation.
Step 2
Using the Pythagorean Identity, rewrite as .
Step 3
Simplify.
Step 4
Split the single integral into multiple integrals.
Step 5
Apply the constant rule.
Step 6
Since is constant with respect to , move out of the integral.
Step 7
Since the derivative of is , the integral of is .
Step 8
Step 8.1
Rewrite as plus
Step 8.2
Rewrite as .
Step 9
Using the Pythagorean Identity, rewrite as .
Step 10
Step 10.1
Let . Find .
Step 10.1.1
Differentiate .
Step 10.1.2
The derivative of with respect to is .
Step 10.2
Rewrite the problem using and .
Step 11
Split the single integral into multiple integrals.
Step 12
Apply the constant rule.
Step 13
By the Power Rule, the integral of with respect to is .
Step 14
Simplify.
Step 15
Replace all occurrences of with .
Step 16
Add and .