Identify the zero-length interval property.(a) \(\int_a^b\)f(x)dx = -1(b) \(\int_a^b\)f(x)dx = 1(c) \(\int_a^b\)f(x)dx = 0(d) \(\int_a^b\)f(x)dx = 0.1I have been asked this question in an internship interview.This intriguing question comes from Properties of Definite Integrals topic in chapter Integrals of Mathematics – Class 12

Identify the zero-length interval property.(a) \(\int_a^b\)f(x)dx = -1

1.	Identify the zero-length interval property.(a) \(\int_a^b\)f(x)dx = -1(b) \(\int_a^b\)f(x)dx = 1(c) \(\int_a^b\)f(x)dx = 0(d) \(\int_a^b\)f(x)dx = 0.1I have been asked this question in an internship interview.This intriguing question comes from Properties of Definite Integrals topic in chapter Integrals of Mathematics – Class 12
Answer» Right ANSWER is (c) \(\int_a^b\)f(X)dx = 0 Best EXPLANATION: 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.

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