Compute \int_8^22f(x)dx if \int_2^8f(x) = – 3.

Category: QuestionsCompute \int_8^22f(x)dx if \int_2^8f(x) = – 3.
Editor">Editor Staff asked 11 months ago

Compute \int_8^22f(x)dx if \int_2^8f(x) = – 3.
 
(a) – 4
 
(b) 84
 
(c) 2
 
(d) – 8
 
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Question is from Properties of Definite Integrals in chapter 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 option is (c) 2
 
Best explanation: \int_8^22f(x)dx = -2 \int_2^8f(x)dx
 
= – 2(-3)
 
= 6