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When evaluating more complex exponentials it is helpful to break them up into smaller steps. so when we are aproched with (1/3) -3/2 we should first look at the effect that the negative sighn has on the frac...

Intergration by parts (IBP). - This accours every time you have a mulitplication in an intergral. This quesion wants you to find the area under the graph x 2 e x . For any intergration by parts question simp...

Given that you have a fraction in the question, you are clearly asked to use the quotient rule. In order to do this, you should label the numerator u, and the denominator v, like this: u = 2x v=cos(x). Now, ...

would use paper to show the student the final answer Your answer will be based around the graph of y=sin(x), which has a y maximum of 1 and minimum of -1, and one full cycle is completed by 2 pi. First y=2si...

Firstly we look at the term 2(x^3). The power of x (in this case 3) is multiplied by the factor of x (in this case 2) and the power is then reduced by 1. This means it is 2x3(x^{3-1}) which simplifies to 6(x...