# AP Calculus AB : Basic properties of definite integrals (additivity and linearity)

## Example Questions

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### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)

If  are continuous functions, ,  , and , find .

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Explanation:

We proceed as follows

. (Start)

. (Break up the integral using the additive rule.)

. (We don't have information about the 2nd integral, so we solve our first equation for  and replace it in this integral.)

. (Factor out the  using linearity.)

. (Substitute in what we were given.)

.

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