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Find maximum value of f(x)=∫ (2t-t²+5) in[0,x]

Find maximum value of f(x)=∫(2t-t²+5) in[0,x]


 

Grade:11

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
10 years ago
Find df/dx :
df/dx = 2x - x2+ 5 = 0

The roots of this equation : x = 1 + root(6), 1- root(6)
d/dx ( df/dx) = 2 - 2x
It is negative for the first root x = 1 + root(6)
Hence the maximum value can be found out by putting x = 1 + root(6) in the integral. Integrate the integral and find it.
Thanks & Regards
Bharat Bajaj
askIITians Faculty
IIT Delhi

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