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Step-by-step integration including logarithmic

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1. integrate. Log xdx

2. Integrate. X^2x^2-1
3. use log diff to find. Y= x^(sqrtx)
4. Integrate 1/xsqrt(x^2-4) dx

5.integrate sin^3 x. Dx

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Solution Summary

This is the step-by-step integration of the following expressions: logxdx,( x^2/(x^2-1)dx, x^square root of x, 1/xsqrt(x^2-4) dx, sin^3xdx

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Please take a look at the note I put for number 2. Let me know if I need to do another problem for number 2.

∫▒〖log⁡(X) dx〗
Use integration by parts:
U = log(x) dv = dx
Du = 1/x dx v = x
∫▒〖log⁡(X)dx=xlogx-∫▒〖x ...

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