The sum property of definite integrals is \int_a^b[f(x)+g(x)dx?

Category: QuestionsThe sum property of definite integrals is \int_a^b[f(x)+g(x)dx?
Editor">Editor Staff asked 11 months ago

The sum property of definite integrals is \int_a^b[f(x)+g(x)dx?
 
(a) False
 
(b) True
 
I have been asked this question in unit test.
 
The doubt is from Properties of Definite Integrals topic 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

The correct choice is (b) True
 
Easiest explanation: The sum property of definite integrals is \int_a^b[f(x)+g(x)dx
 
\int_a^b[f(x)+g(x)dx = \int_a^bf(x)dx+\int_a^bg(x)dx
 
Hence, it is true.