Question

Definite Integral: integrate 1 to e (x^2+x+1)/(x) dx

Answer 1

ewwy... hmmm let's see what we can do

Answer 2

first, is this the question: \[\int_1^e \frac{x^2+x+1}{x} dx\]

Answer 3

@ZeroAT

Answer 4

hint: (a+b)/c=a/c+b/c

Answer 5

\[\int\limits_{1}^{e} \frac{ x^2+x+1 }{ x } \rightarrow x + 1 + \frac{ 1 }{ x } \rightarrow \frac{ x^2 }{ 2 } + x + \ln(x) + C\]

F(e) – F(1) gives the final result of e²/2 + e – 1/2

Thanks for the hint freckles!

Answer 6

yep that's very close. check your lower bounds result though

Answer 7

i think he combined like terms
if i didn't make a mistake that seems to be right
(also good job; some people would be looking at the hint all day )

Answer 8

ah ln e=1, yes you are correct freckles