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

Category: QuestionsWhat is the name of the property \int_a^bf(x)dx = 0?
Editor">Editor Staff asked 11 months ago

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
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

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

b
a
f(x)dx = 0.