# 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 .  Not enough information   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.) .

### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #7 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #1 : Basic Properties Of Definite Integrals (Additivity And Linearity)      Explanation: ### Example Question #10 : Basic Properties Of Definite Integrals (Additivity And Linearity)        