Question

integrate x+1/x^2+5x+6

Answer 1

Step-by-step explanation:

Consider the function

y=(x+3)/(x²+5x+6)

y=(x+3)/(x²+3x+2x+6)

y=(x+3)/(x(x+3)+2(x+3))

y=(x+3)/[(x+3)(x+2)]

Cancelling the common terms

y=1/(x+2)

Integrating on both sides

∫ydx = ∫dx/(x+2)

∫[(x+3)/(x²+5x+6)]dx =ln|x+2|+c

please mark me as braninlist please please please please