Search over 10,000 free study notes

The answer to this question depends on one thing, whether this power is odd or even.

For even powers we use the identity cos(2x) = 2cos^2(x)-1 = 1-2sin^2(x). So for example, the integral of cos^2(x...

dy/dx = 3x+1/ -2y-3x-1

Not all matrices can be multiplied together, so the first thing to do is check it's even possible! To do this write the matrices next to each other (we'll call the first one A and the second B). If the nu...

You should not be put off by the algebraic letters used, substituting x's for z's is absolutely fine. For the first part of the question, since the equation involves the product of two terms, there are tw...

split the integral into (x^4)/(x^2) and (3x)/(x^2) which becomes x^2 and 3*(1/x). These can now be integrated separately and added together after the integration.

first integral: raise the power fo...