Calculus Examples

Evaluate the Integral integral of natural log of x^6 with respect to x
Step 1
Rewrite as .
Step 2
Since is constant with respect to , move out of the integral.
Step 3
Integrate by parts using the formula , where and .
Step 4
Simplify.
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Step 4.1
Combine and .
Step 4.2
Cancel the common factor of .
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Step 4.2.1
Cancel the common factor.
Step 4.2.2
Rewrite the expression.
Step 5
Apply the constant rule.
Step 6
Simplify.