Identify the zero-length interval property.

Category: QuestionsIdentify the zero-length interval property.
Editor">Editor Staff asked 11 months ago

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 = 0.1
 
I 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
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 11 months ago

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.