Compute \int_3^69 e^x dx.

Category: QuestionsCompute \int_3^69 e^x dx.
Editor">Editor Staff asked 11 months ago

Compute \int_3^6
9 e^x dx.
 
(a) 30.82
 
(b) 9(e^6 – e^3)
 
(c) 11.23
 
(d) 81(e^6 – e^3)
 
The question was asked in class test.
 
This key question is from Definite Integral 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

The correct answer is (b) 9(e^6 – e^3)
 
The best explanation:

6
3
9 e^x dx = 9(e^x)^63 dx
 
= 9(e^6 – e^3)