Thursday, July 12, 2018

Integral of x

In this paper, we will discuss how to do the integral problem, the integral of x, by using the basic integral formula. The basic integral formula used to work on the problem $ \int x \ dx $ is as follows.
$ \int ax^n \ dx = \frac{a}{n + 1} x^{n + 1} + C $
Where: a coefficient of x and n the power of x. n is a real number with the condition $ n \neq -1 $. If n = 1 then the integral form becomes $ \int ax^{- 1} \ dx = \int \frac{a}{x} \ dx = ln \ x + C $. C constants.

Now from the given problem, the integral is x having a = 1 and n = 2, so we get:

$ \begin{align} \int x \ dx & = \frac{1}{1 + 1} x^{1 + 1} + C \\ & = \frac{1}{2} x^{2} + C \end{align} $

So how to do $ \int x \ dx $ problem, hopefully it can be useful for pen and reader as well.


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