# Category: Calculus

## Arc length formula

Today we are going to find the formula that allows us to calculate the arc length given a function f(x). This is quite intuitive, so you should have no problem!… Read more Arc length formula

## Integral of e^(ax)*sin(x)

In this post we are going to integrate this seemingly hard integral, which in my opinion is actually very interesting! When we have a product of a trigonometric and a… Read more Integral of e^(ax)*sin(x)

## Integral of sec²(x)/exp(tan(x))

Although it may look a bit intimidating at first, I can guarantee you this is actually a very easy integral! But what integration technique do you think will be useful?… Read more Integral of sec²(x)/exp(tan(x))

## Half integral of x

In my previous post I showed you how to take the half derivative of x. Here, I am going to explain how to find the half integral of x. We… Read more Half integral of x

## Half derivative of x

The derivative of x is easy, it’s simply 1; the second derivative of x is the derivative of 1, which is 0; but what on earth is the half derivative… Read more Half derivative of x

## Integral of sec(x)

This integral needs a quite a bit of work but we will eventually be able to evaluate it! Keep in mind that there is a much faster method, but it’s… Read more Integral of sec(x)

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