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Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx

Mathematics
JAMB 2015

Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx

  • A. \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
  • B. \( \frac{5x^4}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
  • C. \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
  • D. \( \frac{2x^2}{3} + \frac{x}{5} - C \)
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Correct Answer: Option B
Explanation

\(\int (5x^{3} + 7x^{2} - 2x + 5) \mathrm d x\)

= \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - \frac{2x^{2}}{2} + 5x + c\)

= \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - x^{2} + 5x + c\)

There is an explanation video available below.


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Explanation Video

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