Question

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

Answer 1

Answer

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

Step-by-step 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