# What is the reverse integral property of definite integrals?

Category: QuestionsWhat is the reverse integral property of definite integrals?
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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

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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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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.