Topic6.6 (Part1) Properties of Definite Integrals

6

20

2

24

antiderivative

indefinite integral

definite integral

derivative

positive

negative

zero

$$\int_{-1}^2f\left(x\right)\ dx$$  

$$-\int_2^{-1}f\left(x\right)\ dx$$  

$$-\int_{-1}^2f\left(x\right)\ dx$$  

$$\int_{-2}^1f\left(x\right)\ dx$$  

$$\int_0^3f\left(x\right)\ dx$$  

$$-\int_0^1f\left(x\right)\ dx+\int_1^3f\left(x\right)\ dx$$  

$$\int_0^1f\left(x\right)\ dx+\int_1^3f\left(x\right)\ dx$$  

$$\int_1^0f\left(x\right)\ dx+\int_1^3f\left(x\right)\ dx$$  

-1

-2

1/2

-1/2

4 intervals, with heights using middle values

4 intervals, with heights using left values

5 intervals, with heights using middle values

5 intervals, with heights using right values