Sometimes we get lucky and our integral is one of those we remember or can find in some mathematical text - most likely a list of solved integrals. Here is a list of essential integrals we really have to remember if we want to become successful integrators:

(Integrals without a specified domain are valid on the whole real line.)

**Beware!**
These elementary integrals can be used only in exactly the way they are
written. For instance, it is not true that the integral of
*x*)*x*) + *C**x*) + *C*.

Next section: Substitution

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