Question

Give the answer in one word:
If the limits of an integral are mutually changed, then what is the effect of sign in integral?

Answer 1

${\int }_a^{b}f\left(x\right)dx=-{\int }_a^{b}f\left(x\right)dx$

Therefore, when the limits of an integral are mutually changed, the sign of the integral changes from positive to negative or viceversa.