Calculus Examples

Evaluate the Integral integral of x^3sin(x) with respect to x
Step 1
Integrate by parts using the formula , where and .
Step 2
Multiply by .
Step 3
Since is constant with respect to , move out of the integral.
Step 4
Multiply by .
Step 5
Integrate by parts using the formula , where and .
Step 6
Since is constant with respect to , move out of the integral.
Step 7
Multiply by .
Step 8
Integrate by parts using the formula , where and .
Step 9
Since is constant with respect to , move out of the integral.
Step 10
Simplify.
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Step 10.1
Multiply by .
Step 10.2
Multiply by .
Step 11
The integral of with respect to is .
Step 12
Rewrite as .