Calculus Examples

Find the Antiderivative f(x)=( natural log of x)/x
Step 1
The function can be found by finding the indefinite integral of the derivative .
Step 2
Set up the integral to solve.
Step 3
Let . Then , so . Rewrite using and .
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Step 3.1
Let . Find .
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Step 3.1.1
Differentiate .
Step 3.1.2
The derivative of with respect to is .
Step 3.2
Rewrite the problem using and .
Step 4
By the Power Rule, the integral of with respect to is .
Step 5
Replace all occurrences of with .
Step 6
The answer is the antiderivative of the function .