Question

∫_(-1)^1 {dx/ (3x-4)}

is this the ln|x| antiderivative for 1/u?

Answer 1

u=3x-4
du=3
∫ 1/u du

lnx+c

then substitute
ln(3x-4)+c
then

ln (3(1)-4)/3-[ln(3(-1)-4]/3

-0.64

Answer 2

it could be, but your missing a 3 up top

Answer 3

we multiply it by 3/3 and use the top to calibrate for the missing 3; the other 3 can be pulled out as a constant (1/3) to be put back later

Answer 4

okay thank you

Answer 5

integration is an art more than a science; there are no rules that will get you an answer every time like a derivative

Answer 6

lol kk

Answer 7

but if you can multiply by a useful form of 1; or add a useful form of 0; it goes along way

Answer 8

k