Compute \(\int_3^2\)f(x) dx if \(\int_2^3\)f(x) = 4.

Category: QuestionsCompute \(\int_3^2\)f(x) dx if \(\int_2^3\)f(x) = 4.
Editor">Editor Staff asked 11 months ago

Compute \(\int_3^2\)f(x) dx if \(\int_2^3\)f(x) = 4.
 
(a) – 4
 
(b) 84
 
(c) 2
 
(d) – 8
 
This question was posed to me in final exam.
 
This question is from Properties of Definite Integrals topic in portion Integrals of Mathematics – Class 12
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1 Answers
Editor">Editor Staff answered 11 months ago

The correct answer is (c) 2
 
Easy explanation: \(\int_3^2\)f(x)dx = – \(\int_2^3\)f(x)dx
 
= – 4