Enter a problem...
Calculus Examples
Step 1
Raise to the power of .
Step 2
Using the Pythagorean Identity, rewrite as .
Step 3
Step 3.1
Apply the distributive property.
Step 3.2
Simplify each term.
Step 4
Split the single integral into multiple integrals.
Step 5
Since is constant with respect to , move out of the integral.
Step 6
The integral of with respect to is .
Step 7
Factor out of .
Step 8
Integrate by parts using the formula , where and .
Step 9
Raise to the power of .
Step 10
Raise to the power of .
Step 11
Use the power rule to combine exponents.
Step 12
Step 12.1
Add and .
Step 12.2
Reorder and .
Step 13
Using the Pythagorean Identity, rewrite as .
Step 14
Step 14.1
Rewrite the exponentiation as a product.
Step 14.2
Apply the distributive property.
Step 14.3
Reorder and .
Step 15
Raise to the power of .
Step 16
Raise to the power of .
Step 17
Use the power rule to combine exponents.
Step 18
Add and .
Step 19
Raise to the power of .
Step 20
Use the power rule to combine exponents.
Step 21
Add and .
Step 22
Split the single integral into multiple integrals.
Step 23
Since is constant with respect to , move out of the integral.
Step 24
The integral of with respect to is .
Step 25
Step 25.1
Apply the distributive property.
Step 25.2
Multiply by .
Step 26
Solving for , we find that = .
Step 27
Multiply by .
Step 28
Simplify.