Integration of x

Integration 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 Integration of $x$ problem, hopefully it can be useful for pen and reader as well.