Evaluate (int^{2} _{3}(x^2 – 2x)dx)

Evaluate (int^{2} _{3}(x^2 – 2x)dx)
  • A.
    4
  • B.
    2
  • C.
    4/3
  • D.
    1/3
Correct Answer: Option C
Explanation

(int^{2} _{3}(x^2 – 2x)dx\=left[frac{x^3}{3}-frac{2x^2}{2}right ]^{2}_{3}\left[frac{x^3}{3}-x^2 + Cright ]^{2}_{3}\left[frac{3^3}{3}-3^2 + C right ]-left[frac{2^3}{3}-2^2 + C right ]\9-9-left[frac{8}{3}-4 right ]\=frac{-8}{3}+4\=frac{4}{3})

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