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 It is always important to be familiar with a variety of standard functions and their graphical representation, such as sine and cosine curves, as well as exponential, quadratic and other such functions. ...

(i) S₄=2+4+6+8=20

(ii)S₁₀₀= 2+4+...+200=2(1+2+...+100)=2(100+1)*(100/2)=10100

x^5+C

In order to understand where that annoying "+C" term comes from that is so easily forgotten from the end of the solution, let's start with the general thought process of solving an indefinite in...

The chain rule needs to be applied when you are differentiating a function f of x with respect to a variable t, x is a function of (i.e. given f(x) and x(t), you want to calculate df/dt. 

To do so ...