Question

What is the name of the property \(\int_a^b\)f(x)dx = 0?

(a) Reverse integral property

(b) Adding intervals property

(c) Zero-length interval property

(d) Adding integrand property

I got this question in class test.

I need to ask this question from Properties of Definite Integrals in section Integrals of Mathematics – Class 12

Answer 1

Right option is (b) Adding intervals property

For explanation I would say: The zero-length interval property is one of the properties used in definite integrals and they are always positive. The zero-length interval property is \(\int_a^b\)f(x)dx = 0.