Question

What is the integral of (x^2+1/ x) dx from 1 to e?

Answer 1

\[\int\limits_{1}^{e} (x^2+1) / x\]

Answer 2

split it into 2 fractions
x^2/x = x

Answer 3

integral of 1/x is ln(x)

Answer 4

so it becomes x^2/2 + ln(x)

Answer 5

correct, then evaluate F(e) -F(1)
where F = x^2/2 +ln(x)

Answer 6

i get (e^2+1/2) - (1/2 - 0) . Did i evaluate correctly?

Answer 7

the first part should be e^2/2 + 1

Answer 8

Oh yeah thats corect. So when combined is (e^2 - 1 / 2)

Answer 9

correction that subtraction should be addition

Answer 10

so the final answer is (e^2+1/2)

Answer 11

yes ...if that is (e^2 +1)/2

Answer 12

right thats what i have. Thank you so much for explaining. =)
Im so bad with integrals.

Answer 13

no problem

Answer 14

Do u mind helping me with another problem. im posting it now.