Question

If f(x) is continuous on the interval a<=x<=b and a 11 years ago

Answer 1

If \[a \le x \le b \] and \[a <c <b\]
then \[\int\limits_{c}^{b}f(x)dx\] is equal to...

Answer 2

f(x) is continuous

Answer 3

They might want something dealing with \[\begin{aligned} &\phantom{\implies} \int_a^b f(x)\,dx = \int_a^cf(x)\,dx + \int_c^bf(x)\,dx\\ & \implies \int_c^b f(x)\,dx = \int_a^bf(x)\,dx - \int_a^c f(x)\,dx\end{aligned}\] If it's not, is there anymore context for this problem?

Answer 4

that's the answer