# Standard Integrals

We defined integration as the anti derivative of a given function.

For example:

∫ (cos x) dx = sin x + C where C is the constant of integration discussed earlier.

Based on this principle we present a list of common integration formulae useful in integrating any given function.

For example:

d
dx |
(sin x) = cos x and hence we say: |

∫ (cos x) dx = sin x + C where C is the constant of integration discussed earlier.

Based on this principle we present a list of common integration formulae useful in integrating any given function.

If a function to be integrated is in any of the above forms, then we directly use
the formula. In case, if it is not in the listed standard form, we will reduce it
to one of the above standard forms. This will be done by using some rules and theorems
of integration. We will cover these rules in the next section.

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