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 $\int xdx$ is as follows.

$\int a{x}^{n}dx=\frac{a}{n+1}{x}^{n+1}+C$

Where:

a coefficient of $x$ and n the power of $x$. n is a real number with the condition $n\ne -1$.

If n = 1 then the integral form becomes $\int a{x}^{-1}dx=\int \frac{a}{x}dx=lnx+C$. C constants.

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

$$\begin{array}{rl}\int xdx& =\frac{1}{1+1}{x}^{1+1}+C\\ & =\frac{1}{2}{x}^2+C\end{array}$$

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