+502 Can anyone define integration?
I am not sure if its divide the expression by the power and increase the power of x by 1 or not.
+471 Integration Definitions:
1.
The action or process of integrating.
2. In mathamatics:
The finding of an integral or integrals.
If that did not answer your question then look at this page for a more mathamatical explanation:
http://mathsfirst.massey.ac.nz/Calculus/integration/basics/definition.html
+33661 For powers of x, we have:
\(\int{x^n}dx=\frac{x^{n+1}}{n+1}\text{ as long as }n\ne-1\)
.
+9673 It is not just divide by (power + 1) and add 1 to the power.
Examples:
\(\displaystyle\int\cos x dx = \sin x + C\\ \displaystyle\int \sec^2 x dx = \tan x + C\\ \text{OR even more complicated:}\\ \displaystyle\int \sqrt[3]{\tan x}dx = -\dfrac{1}{2}\ln|1+\tan^{2/3}x|+\dfrac{1}{4}|\tan^{4/3}x-\tan^{2/3}x + 1|+\dfrac{\sqrt{3}}{2}\arctan\left(\dfrac{2\tan^{2/3}x-1}{\sqrt3}\right) + C\)
