Question

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

Answer 1

split the integral into 2 parts

Answer 2

15

Answer 3

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

Answer 4

I shouldn't have ask this question...