Question

How do you integrate this using substitution ?
∫x+2/X^2+4x dx , with u=x^2+4x

Answer 1

if u = x^2 + 4x then du = 2x + 4 agree?

Answer 2

yea

Answer 3

then du = 2(x+2) do you see it?

Answer 4

yea

Answer 5

so can you see the substitution now?

Answer 6

yea thanks :) I was trying to solve it without factoring.How do you know when to factor it ?

Answer 7

experience? lol idk. i was looking at the numerator. it say x+ 2 and you said solve by substitution so i was just looking on how to make it look like x+2

Answer 8

oh okay.Thanks once again

Answer 9

<tips hat>