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∫ln(x)dx = xln(x) - ∫x/x dx = xln(x) - x + C
Any constant (say k) can be rewritten as kx0 since x0=1. When you differentiate this, the 0 which is the power of the x term gets dragged to the front and is multiplied with the rest...
When finding the maximum or minimum of an equation, make sure you rearrange an equation to make y the subject of the equation i.e. y=_________. You can then differentiate with respect to x and then set th...
Firstly we must lay out our double angle formulas which are required for this question: cos(2A) = 1-2sin^2(A) = 2cos^2(A)-1 sin(2A) = 2sin(A)cos(A) Working from LHS: (1-cos(2A))/sin(2A) Focusing on the...
Laws of logs tells us that ln(a) - ln(b) = ln(a/b)
Therefore ln(10)-ln(5) = ln(10/5) = ln(2)
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