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Integration is a process in which we are able to find out how much area is encapsulated under a curve. Let's say we want to find the area between x = 0 and x = 10 of a curve. Generally, we take the curve ...

That is a good question. Let me try to help you figure this out by working through a few simple examples. We know that differentiation is like a reverse process of right? So let us differentiate a few fun...

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y = 4x^3-5x^-2 dy/dx = 12x^2+10x^-3

3tan(k)-1=sec^2(k) () We want to get this in the form of a quadratic equation in a single variable, and in this case the easiest variable is tan(k). To do this we use the trigonometric identity sec^2(...