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Popular Calculus >

Find the Derivative of the Integral integral of ( square root of natural log of x)/x with respect to x

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Solution

∫​x(ln(x)​)​​dx

Solution

32​ln23​(x)+C
Solution steps
∫xln(x)​​dx
Apply u-substitution
=∫u​du
Apply the Power Rule
=32​u23​
Substitute back u=ln(x)=32​ln23​(x)
Add a constant to the solution=32​ln23​(x)+C

Popular Examples

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Frequently Asked Questions (FAQ)

  • What is the integral of (((sqrt(ln(x))))/x) ?

    The integral of (((sqrt(ln(x))))/x) is 2/3 ln^{3/2}(x)+C
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