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Evaluate the definite integral\[\int\limits_4^5e^x\;dx\]

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Toolbox:
  • $ \int \limits_a^b f(x)dx=F(b)- F(a)$
  • (i)$\int e^xdx=e^x+c$
Given $ I=\int \limits_4^5 e^x dx$
 
On integrating we get
 
$[e^x]$
 
On applying limits we get
 
$(e^5-e^4)$
 
Taking $e^4$ as the common factor,
 
$\int \limits_4^5 e^xdx=e^4(e-1)$

 

answered Feb 10, 2013 by meena.p
 
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