Show that the substitution $u=e^x$ converts $\int \frac{2+\ln(u)}{u^2} du$ into $\int \frac{2+x}{e^x} dx$Hence evaluate $\int_1^e \frac{2+\ln(u)}{u^2} du$I have tried every substitution available and still cannot come to an answer. I can find the answer via integration by parts but not through a substitution which I think is required. ThanksĀ
I don't think I'm supposed to use parts