Question

did I do this integration correctly?

Answer 1

1 error

Answer 2

1= Ax-2A+Bx-B
0x= Ax+Bx

1 = -2A -B

you have written 1=2A+B which is incorrect

Answer 3

aha! i don't know how i made such a stupid mistake lol. then A=3 and B=5? giving ln(x+5) - ln(x-2)?

Answer 4

what i would do
1=A(x-2) +B(x-1)
now this is true for every 'x'
so, put x=1
1 = A (1-2)
A = -1

put x=2
....

Answer 5

simpler than what you did, is it ?

Answer 6

very much so! the odd thing is I always used to do it your way but today for some reason my brain just decided to do it a different way

Answer 7

so could you do it correctly now ?

Answer 8

yes i can, thank you kind sir. with the help of this site i might actually pass my calc exam

Answer 9

best of luck! :)