How does the product rule for differentiation work

The chain rule works so that if you have y=f(x)g(x), where f(x) and g(x) are functions of x, dy/dx = f'(x)g(x) + f(x)g'(x)

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I always mix up my integration and differentiation. How do i stop this?


integrate ln(x) using integration by parts


use the substitution u=2+ln(x) to show that int(e,1(ln(x)/x(2+ln(x)^2))dx)=p+ln(q) , where p and q are rational numbers.


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