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Calculus Examples
Step 1
Integrate by parts using the formula , where and .
Step 2
Split the single integral into multiple integrals.
Step 3
Since is constant with respect to , move out of the integral.
Step 4
By the Power Rule, the integral of with respect to is .
Step 5
The integral of with respect to is .
Step 6
Step 6.1
Combine and .
Step 6.2
Simplify.
Step 6.3
Simplify.
Step 6.3.1
Raise to the power of .
Step 6.3.2
Raise to the power of .
Step 6.3.3
Use the power rule to combine exponents.
Step 6.3.4
Add and .
Step 6.4
Simplify.
Step 6.4.1
Apply the distributive property.
Step 6.4.2
Multiply .
Step 6.4.2.1
Multiply by .
Step 6.4.2.2
Multiply by .
Step 6.5
Reorder terms.