If \int\limits^a_b {f(x)} \, dx = 5 and \int\limits^a_c {f(x)} \, dx = 0. What is the value of \int\limits^b_c {f(x)} \, dx = ..?

asked Jan 28, 2021 152k views

3 votes

If
$\int\limits^a_b {f(x)} \, dx = 5$ and
$\int\limits^a_c {f(x)} \, dx = 0$ .

What is the value of
$\int\limits^b_c {f(x)} \, dx = ..?$

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1 vote

Answer:

$\boxed{\int\limits^b_c {f(x)} \, dx = -5}$

Explanation:

$\int\limits^a_c {f(x)} \, dx + \int\limits^b_a {f(x)} \, dx = 0 + (-5)$

$\int\limits^b_c {f(x)} \, dx = -5$

BigJump answered Feb 1, 2021

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