What is the reverse integral property of definite integrals?

Category: QuestionsWhat is the reverse integral property of definite integrals?
Editor">Editor Staff asked 11 months ago

What is the reverse integral property of definite integrals?
 
(a) –\(\int_a^b\)f(x)dx=-\(\int_b^a\)g(x)dx
 
(b) –\(\int_a^b\)f(x)dx=-\(\int_b^a\)g(x)dx
 
(c) \(\int_a^b\)f(x)dx=\(\int_b^a\)g(x)dx
 
(d) \(\int_a^b\)f(x)dx=-\(\int_b^a\)f(x)dx
 
I have been asked this question during an online exam.
 
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

Correct option is (d) \(\int_a^b\)f(x)dx=-\(\int_b^a\)f(x)dx
 
Best explanation: In the reverse integral property the upper limits and lower limits are interchanged. The reverse integral property of definite integrals is \(\int_a^b\)f(x)dx=-\(\int_b^a\)f(x)dx.