Question

Evaluate the Integral:
3/x from 4 to 2.
I'm really bad at integrals, I totally forgot how to do them, please explain how to do it.

Answer 1

3/x (dx)

Answer 2

OK

Answer 3

\[\int_2^4\frac{3}{x}dx\]
Now first of all, do you know the integral of \(\large \frac{1}{x}\)?

Answer 4

isnt that ln(x)

Answer 5

Yes, do you remember the fundamental theorem of calculus?

Answer 6

we dont go over theorems in class :/

Answer 7

\[\large \int_2^4\frac{3}{x}dx = 3 \int_2^4\frac{1}{x}dx = 3\ln(x) \Big]_2^4\]

Answer 8

So 3(ln(4)-ln(2)) = ?

Answer 9

The fundamental theorem of calculus tells us to do a definite integral, we take the anti derivative (in this case \(3\ln(x)\)) and

Answer 10

Yeah you got it

Answer 11

okay :) 2.07 is the final answer. Tyvm. I will try to do the next problems and if anything, I will post a new thread.