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

Integral ∫\( (5x^3 + 7x^2 − 2x + 5)\)dx
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  • A \( \frac{5x^4}{4} + \frac{7x^3}{3} + 2x + C \)
  • B \( \frac{5x}{4} + \frac{7x^3}{3} - x^2 + 5x + C \)
  • C \( \frac{5x^3}{3} + \frac{7x^2}{x} - x + C \)
  • D \( \frac{2x^2}{3} + \frac{x}{5} - C \)
Correct Answer: Option B
Explanation:
\(\int (5x^{3} + 7x^{2} - 2x + 5) \mathrm d x\)
= \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - \frac{2x^{2}}{2} + 5x + c\)
= \(\frac{5x^{4}}{4} + \frac{7x^{3}}{3} - x^{2} + 5x + c\)

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