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The function in terms of x should be broken down into two easier to integrate functions, like so f(x) = g(h(x)). if we say that u=h(x) is our substitution then we can integrate in terms of u now, however ...

Write out the two equations and label them 1 and 28x + 2y =487x+ 3y= 47The first aim is to get one variable (ie x or y) on both lines to equal each other. The easiest way to do this (keeping the numbers m...

Expand sin(2x) to 2sin(x)cos(x) so you have 6(2sin(x)cos(x))sec(x). cos(x) and sec(x) cancel out so the expression becomes 12sin(x) + 5cos(x). compare this to the expanded version of Rsin(x+a) which is Rs...