Question

Find possible values of a and b that make the statement true. (x) dx + f(x) dx = [* f(x) dx Ja (a, b) = ) x

Answer 1

Property using here is

• $\int_{a}^{b}f\left ( x \right )dx+\int_{b}^{c}f\left ( x \right )dx=\int_{a}^{c}f\left ( x \right )dx$

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$\int_{-5}^{1}f\left ( x \right )dx+\int_{1}^{9}f\left ( x \right )dx=\int_{-5}^{9}f\left ( x \right )dx=\int_{a}^{b}f\left ( x \right )dx$

a= -5, b = 9

That is

$\boldsymbol{\left ( a,b \right )=\left ( -5,9 \right )}$

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