Sir, this is what started off with, now please tell me if i did everything correct. I will be thankful to you guys truly.
so here's what i started off with.
202.31/(1+e^(3.938-0.314t)... Now i set x=3.938-0.314t, du=-0.314, revised du= -644.299.
Next i set that integral up. -644.299...
OK so now i have (1+e^x-e^x)/(e^x+1), now i set u=e^x+1 du=e^x, now i set up my integral u-(u-1)/u and it gives me 1-1+Ln|u|... Please tell me if this is right... I feel suicidal right now because this thing is due Thursday :(
Let me get this right. So i have this original function (1/((e^x)+1), i multiply the top and bottom by 1+e^x-e^x, and then simplifying i have, (1+e^x-e^x)/((1+e^x)... So now i set u= 1+e^u-e^u ? is this what you are saying?
I want to see how you guys expand it because i am stuck with a calculus integration problems which asks me to use u-substitution.
Integrate , 1/(1+e^x) Without using partial functions
Yes i went to wolfram mathematica too, and got the same setp as you did here, however, i am not suppose to use partial function at this point, i am bounded by Parts and U-substitution :(
The next thing i did was multply the top and bottom by 1+e^u-e^u, and cancel out like terms which leads me...
Oh yes, i factored out the constant, then i set u= 3.938-0.314x, and du=-0.314
which gets me 1/(1+e^(u)... :( I'm not sure how to integrate this now! Please help me
Homework Statement
Calculate the antiderivative of the following:
(202.31)/(1+e^(3.938-0.314x)) using either U-substitution or Parts but NOT partial functions.
Homework Equations
please show to me your work
The Attempt at a Solution
I'm not sure how to approach this, I'm stuck