Enter a problem...
Calculus Examples
Step 1
Integrate by parts using the formula , where and .
Step 2
Since is constant with respect to , move out of the integral.
Step 3
Step 3.1
Combine and .
Step 3.2
Combine and .
Step 3.3
Multiply by .
Step 4
Step 4.1
Let . Find .
Step 4.1.1
Differentiate .
Step 4.1.2
Since is constant with respect to , the derivative of with respect to is .
Step 4.1.3
Differentiate using the Power Rule which states that is where .
Step 4.1.4
Multiply by .
Step 4.2
Rewrite the problem using and .
Step 5
Step 5.1
Multiply by the reciprocal of the fraction to divide by .
Step 5.2
Multiply by .
Step 5.3
Move to the left of .
Step 6
Since is constant with respect to , move out of the integral.
Step 7
Multiply by .
Step 8
The integral of with respect to is .
Step 9
Rewrite as .
Step 10
Replace all occurrences of with .
Step 11
Reorder terms.