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There are a few different types of integration, the most common being Riemann integration.

Riemann integration allows you to find the area under the graph of a function between two...

There are two ways you can take the derivative of a^x.

1) 

Let y = a^x    now we're trying to find dy/dx

2)

ln(y) = xln(a)    take logs of both s...

Generally you will be asked to find the root of an equation of the form F(x) = 0. In my answer below I will only touch on graphical methods, but will go into deeper detail on showing that a root lays in a...