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A.
\(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
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B.
\(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
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C.
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
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D.
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
Correct Answer: Option C
Explanation
∫x
ndx = \(\frac{x_{n + 1}}{n + 1}\)
∫dx = x + k
where k is constant
∫(x
2 + 3x − 5)dx
∫x
2 dx + ∫3xdx − ∫5dx
\(\frac{2_{2 + 1}}{2 + 1}\) + \(\frac{3x^{1 + 1}}{1 + 1}\) − 5x + k
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) − 5x + k
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