Question

(2x+5)^2e^5x integral?

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Answer 1

Answer:

Here you need to find a function (Primitive) that derived gives you

e

5

x

.

We can guess immediately that this function could be:

e

5

x

5

+

constant

that derived gives us the integrand;

or we can use the general rule to say that:

∫

e

k

x

d

x

=

e

k

x

k

+

c

where

k

and

c

are two constants.

We need the second constant

c

in the result to cover all the possibilities for our Primitive Function.