geerky42 4 years ago The function $$f$$ is such that $$\displaystyle \int_{-1}^3 f(x)dx = 7$$. What is the value of $$\displaystyle \int_{-1}^3 \left(f(x)+2\right)dx$$?

1. hartnn

split the integral into 2 parts

2. anonymous

|dw:1352608336072:dw|

3. geerky42

15

4. hartnn

-1 to 3 f(x) dx + -1 to 3 2dx = 7+int (-1 to 3) 2 dx

5. geerky42

I shouldn't have ask this question...