If $\int(x+2) \sqrt{x^2-x+2} d x=\frac{1}{3} f(x)+\frac{5}{8} g(x)+\frac{35}{16} h(x)+\mathrm{c}$ then $f(-1)+g(-1)+h\left(\frac{1}{2}\right)=$

• A

  $-4$
• Correct answer
  B

  $2$
• C

  $4$
• D

  $-2$

Hence, the correct answer is option: 'B'.