Compute \int_2^67e^x dx.

Category: QuestionsCompute \int_2^67e^x dx.
Editor">Editor Staff asked 11 months ago

Compute \int_2^67e^x dx.
 
(a) 30.82
 
(b) 7(e^6 – e^2)
 
(c) 11.23
 
(d) 81(e^6 – e^3)
 
This question was addressed to me during an internship interview.
 
I need to ask this question 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

Right choice is (b) 7(e^6 – e^2)
 
Explanation: \int_2^67e^x dx = 7(e^x)^62 dx
 
= 7(e^6 – e^2)