Integral Calculus> Solve this integral question. Please tell...

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

Nitin , 8 Years ago

Grade 12

3 Answers

Mahesh Menon

Last Activity: 8 Years ago

Is it 1?................................................................................................................................................................................................

Nitin

Last Activity: 8 Years ago

NO Sir The answer is 2....................... …............................... ….....................

Mahesh Menon

Last Activity: 8 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.