# Math Help - another definite integral

1. ## another definite integral

$

\int_{1}^2 (6e^{3x}-1/x)\, dx
$

2. ## solution

= 2*e^3x-ln(x) = 2e^6-ln(2)-2*e^3

3. Originally Posted by foodmmm
$

\int_{1}^2 (6e^{3x}-1/x)\, dx
$
You're integrating standard forms. Read this carefully (most of the formulae should be in your class notes or textbook): Table of Integrals

4. ## ?

what did you get as the final answer?

2e^6 - ln(2) - 2e^3 ?

5. Originally Posted by foodmmm
what did you get as the final answer?

2e^6 - ln(2) - 2e^3 ?
Yes.

6. ## ?

there is no + c on the end?

7. Originally Posted by foodmmm
there is no + c on the end?
It's a definite integral. There's only a '+ c on the end' when it's an indefininte integral.

8. ## no need for c

If you add c (F(b)+c)-(F(a)+c) =F(b) -F(a) so c is omitted from definite integrals

thank you