Question

Using the F’(x) Graph shown, find the Integral from 0 to 1 F’(x)dx if f(5) = -7.8, and f(0) = 3.

Answer 1

`-22.8`

Explanation:

`\int^(1)_(0) f'(x) \text{ } dx=f(1)-f(0)=f(1)-3 \\ \\ \\ B=\int^(5)_(1) f'(x) \text{ } dx=12 \implies f(5)-f(1)=12 \\ \\ -7.8-f(1)=12 \implies f(1)=-19.8 \\ \\ \therefore f(1)-3=-19.8-3=-22.8`