Math, asked by alizamerchant, 3 months ago

integral (e^x -1)/(e^x + 1)​

Answers

Answered by amishabhuptani2019
1

Answer:

Let

is an odd function.

given integral

Answered by srivastavaalka321
0

Step-by-step explanation:

=integral(e^x-1+e^x-e^x/e^x+1)dx

=integral[-(e^x+1)/e^x+1]dx+ integral(2 e^x/ e^x+1)dx

=integral (- dx) + 2 integral (e^x /e^x+1)dx

=[ let u = e^x +1, du =e^x dx]

= -x + 2 log|u|

= -x+2log|e^x+1|

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