Multiple Choice Calculus HW Question

Question

₂

∫ (𝑥²−𝑥−5)/(𝑥+2) 𝑑𝑥=

¹

^{a. (-3)/(2)+ln(4)/(3)}

^{b. (-25)/(21)}

^{c. (5)/(2)+3ln(3)/(4)}

^{d. (23)/(45)}

Answer 1

(𝑥²−𝑥−5)/(𝑥+2)=x-3+1/(x+2) by synthetic division (dividing x+2 into numerator)

integrating result is (x²/2)-3x+ln(x+2)