Question

integral 1/(y^2 + 5y + 6) dy

Is there another way to find this other than completing the square on the denominator?

Answer 1

whats wrong with partial fractions ?

Answer 2

this will factor

Answer 3

i was thinking maybe that but wasn't sure if that would work., also was thinking factor then IBP?

Answer 4

\[\frac{ 1 }{ (y+2)(y+3) }\]

Answer 5

\[\frac{ 1 }{ y+2 } - \frac{ 1 }{ y+3 }\]

Answer 6

yes

Answer 7

then separately it can be easily integrated.

Answer 8

oh wow I didn't know you could do that. ty :)

Answer 9

thanks @ganeshie8

Answer 10

How do you go from the factors to the sum? is that by PFD?

Answer 11

PFD yes

Answer 12

ah, ty @ganeshie8, @cwrw238, @ribhu

Answer 13

im going to try it out now, ty!

Answer 14

in your inbox

Answer 15

thats the best way - learn by practicing yourself

Answer 16

it helps to remember that EVERY rational function can be integrated using PFD

Answer 17

for some reason i though you could not do PFD unless you had a binomial in the numerator, thats all I have done it for

Answer 18

thought*

Answer 19

ty all, sorry for my ignorance

Answer 20

dont be