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To integrate this simple equation add one to the power then divide by the new power for example. 2x^2 becomes 2/3x^3 4x becomes 2x^2 and 1 becomes x plus constant c so the overall integrated equation is 2...

First notice that this is an equation that will require implicit differentiation since C cannot be explicitly written in terms of either x or y. Thus we must differentiate each term with respect to x:-the...

The question has given us a function and wants us to determine whether or not any maximums/minimums exist (and if so identify then). We know maximums/minimums occur when the derivative of the equation is ...

Don't forget, in order to find the area under a curve y=f(x) between two values x=a and x=b we integrate f(x) between a and b.Thus to find the area enclosed between two curves y=f(x) and y=g(x) we simply ...

We can take logs of both sides straight away, and using the log rule that alogb = log(b^a)So(4x-1) log(2) = (5 - 2x) log(3)We can expand the bracketsso (4x)log(2) - log(2) = 5log(3) - 2xlog(3)We can group...