The correct option is A x^33 x^22+5x+c Given #160; ∫ x^2 x+5 dx ∫ x^2 dx ∫ x dx+∫ 5 dx x^33 x^22+5x+c ...

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Higher Order Derivatives

∫ x2-x+5 dx

Question

$\int (x^{2} - x + 5) d x$

\frac{x^{3}}{3} - \frac{x^{2}}{2} + 5 x + c

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\frac{x^{3}}{3} + \frac{x^{2}}{2} + 5 x + c

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\frac{x^{2}}{2} - \frac{x}{2} + 5 x + c

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\frac{x^{4}}{4} - \frac{x^{4}}{3} + 5

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Solution

The correct option is A $\frac{x^{3}}{3} - \frac{x^{2}}{2} + 5 x + c$
Given

$\int x^{2} - x + 5 d x$

$⟹ \int x^{2} d x - \int x d x + \int 5 d x$

$⟹ \frac{x^{3}}{3} - \frac{x^{2}}{2} + 5 x + c$

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