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Using integration by parts: split xcos(x) into x multiplied by cos(x). Differentiating x gives 1 and integrating cos(x) gives sin(x). The integral of xcos(x) can therefore be rewritten as xsin(x) - integr...
Integration by parts formula: ∫ udv/dx = uv - ∫ du/dxv dx To solve this problem we need to use a trick by thinking of lnx as lnx1 So we can choose: u=lnx, dv/dx=1 ...
So you are asked to find the inverse of a function f(x). The inverse function is denoted by f -1(x). To help with this we can use the identity f(f -1(x))=x. Now,...
The quotient rule is a formula used to differentiate fractions that contain terms of x in both the numerator and the denominator (we usually refer to this as f(x)/g(x)).As it isn't possible to diffe...
Sorry in advance for the lack of a diagram, which would have made this explanation so much clearer. Also, the published version of this seems to ignore Unicode formatting, so I will add underscores (_)...
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