integration is another beautiful aspect of calculus.. Integration is defined to be the reverse of differentiation..
Integration can be solved by different methods depending on the nature of the question.
The general formula of integration is simple to use.. For any given function, you simply add one(1) to the power of the variable and divide  the whole function by the sum of the power plus the constant of integration which is usually represented as C.
note: Integration of any constant is obtained by multiplying that constant by x. For example integration of 2 is 2x,
And integration of 1 is x.
Integration has a wide variety of applications in mathematics especially in differential equations, complex analysis, fluid mechanics and even functional analysis in the analysis of Riemann Integral.
Some few methods of solving Integration are
1)standard integral formula
2)integration by substitution
3)integration by part
4)integration using partial fraction
etc there are many more methods of integration...
Below are some formulas and a few examples of integration questions.