How do you integrate ln(x)

To integrate this function integration by parts is used where u = lnx and v = 1. The process of integration by parts is then carried out with the final answer being xlnx -x +c. 

The formula for integration by parts is I(u.dv/dx) = u.v - I(v.du/dx)

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Find the gradient of the line 4x+9y=10.


What's the point of writing my mathematics well if I don't get extra marks for it?


A curve has equation 2(x^2)+3x+10. What is the gradient of the curve at x=3


g(x) = ( x / (x+3) ) + ( 3(2x+1) / (x^2 + x - 6) ). Show that this can be simplified to: g(x) = (x+1) / (x-2).