Question

Find possible values of a and b that make the statement true.

Answer 1

Answer

(a, b) = (-4, -1)

Explanation:

Given that:

$\int_a^cf(x)dx=\int_a^bf(x)dx+\int_b^cf(x)dx$

We have:

$\begin{gathered} \int_{-4}^7f(x)dx=\int_{-1}^7f(x)dx+\int_a^bf(x)dx \\ \\ \int_{-4}^7f(x)dx=\int_{-1}^7f(x)dx+\int_{-4}^{-1}f(x)dx \end{gathered}$

Therefore, we say a = -4, b = -1