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Evaluate \(\int^2_1(x^2 - 4x)dx\)

Mathematics
JAMB 2012

Evaluate \(\int^2_1(x^2 - 4x)dx\)
  • A. \(\frac{11}{3}\)
  • B. \(\frac{3}{11}\)
  • C. \(-\frac{3}{11}\)
  • D. \(-\frac{11}{3}\)
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Correct Answer: Option D
Explanation
\(\int^2_1(x^2 - 4x)dx\)

\((\frac{x^3}{3} - \frac{4x^2}{2})\)

substituting integrate values

\([\frac{8}{3} - \frac{4 \times 4}{2}] - [\frac{1}{2} - 2]\)

= \(-\frac{11}{3}\)

There is an explanation video available below.


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Explanation Video

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