I am unsure on how to calculate the following 2 integrals a) [1/(x^2)]*[e^(2/x)], with respect to xand b) 1/(e^x + 1), with respect to x Help with this will be greatly appreciated.
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Originally Posted by Nas I am unsure on how to calculate the following 2 integrals a) [1/(x^2)]*[e^(2/x)], with respect to xand b) 1/(e^x + 1), with respect to x Help with this will be greatly appreciated. Here you have a) . Now make the substitution so that and the integral becomes .
Originally Posted by Nas I am unsure on how to calculate the following 2 integrals a) [1/(x^2)]*[e^(2/x)], with respect to xand b) 1/(e^x + 1), with respect to x Help with this will be greatly appreciated. b) . Now make the substitution so that and . The integral becomes . Now solve this using partial fractions.
would the answer for part b be x-log(e^x+1)?
Let , then . Therefore Let , then
Another solution for 2: Let , to get :
Hello, Nas! The General beat me to the solution . . . *sigh* I have an equivalent answer: . And this answer can be simplified beyond all recognition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Thanks for all the help.
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