1) The integral of dx divided by the the quantity of e^-x+1
also known as the indefinite integral of dx/((e^-x)+1)
2) Solve the indefinite integral of the quantity of 1 minus e^x all over the quantity of 1 plus e^x with respect to x...
also know as the indefinite integral of (1-e^x)/(1+e^x) dx
Ok, so we first multiply the top and the bottom by e^x and that gives us:
now we let 1+e^x=u ---> e^x*dx=du---> dx=du/e^x, so we have:
int(e^x/u*du/e^x) and if we simplify we will ...
This provides two examples of indefinite integrals.