Question

Calculus question

Answer 1

@phi

Answer 2

does this mean you (are supposed to) know calculus?

write 1/x^2 as x^-2
and integrate using the power rule

Answer 3

ok, what i have to do is to take the integral of that, then make it equal to -1?

Answer 4

or do the integral then do F(1) and then make it equal to -1?

Answer 5

integrate and be sure to include the unknown "constant of integration"

then sub in x=1 and set the expression equal to -1

Answer 6

ohh ok

Answer 7

im doing it right now

Answer 8

is the answer, C = 2?

Answer 9

yes

Answer 10

though the answer is F(x) (which includes the C=2)

Answer 11

wait so what would the answer be then?

Answer 12

what did you get for the integral?

Answer 13

\[\frac{ -1 }{ x}-2x + C\]

Answer 14

that is the answer, but with C replace with a 2

Answer 15

why is that you F(1)? Im just curious

Answer 16

use*

Answer 17

that is F(x)

They told you F(1) = -1 , which is extra info that lets you find the constant C

Answer 18

in other words, when we integrate we get a curve
-1/x - 2x + C
the C "shifts" this curve up or down, depending on what value it is.

If we know that the curve goes through a particular point (example (1,-1) )
then we can pick out that curve (i.e. set C so it works)

Answer 19

thanks phi