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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...
In theory, a monopoly is a situation in which the ‘industry is the firm’ however in reality in the UK we consider anything which controls 25% or more of the market to have monopoly pow...
Income can be defined as a flow of factor incomes, such as earnings, dividends and rent. Alternatively, wealth is a stock of financial and real assets including savin...
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,...
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