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Solve this integral question. Please tell me how to approach these type of questions sorry i didnt upload image before

Solve this integral question. Please tell me how to approach these type of questions sorry i didnt upload image before

Question Image
Grade:12

3 Answers

Mahesh Menon
17 Points
4 years ago
Is it 1?................................................................................................................................................................................................
Nitin
110 Points
4 years ago
NO Sir The answer is 2....................... …............................... ….....................
Mahesh Menon
17 Points
4 years ago
Ok got it. Its a nice sum. Made a silly mistake earlier.
 
So take the integral as f(x). Since we have to find the maximum value f’(x)=0. So differentiate f(x) and euqate to zero (using Lebinitz Theorem). Find x. 
 
You will get the value of lnx as ln(ln2/2n-1). Use L’Hospital’s rule to find the limit since it is in infinity/infinity form.’
 
You will get the limit as -ln2. 
Hence e-(-ln2) is 2. 

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