Evaluate - x2-3x-5 dx

The correct option is C x^33+3x^22+5x+c ∫ x^2+3x+5 dx #160; =∫ x^2 dx+∫ 3x dx+∫ 5 dx =x^33+3x^22+5x+C ...

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Integration by Substitution

Evaluate ∫ ...

Question

Evaluate $\int x^{2} + 3 x + 5 d x$

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

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

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

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None of the above.

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\int \frac{x^{3}}{x + 1} d x

(a) x + \frac{x^{2}}{2} + \frac{x^{3}}{3} - \log |1 - x| + C (b) x + \frac{x^{2}}{2} - \frac{x^{3}}{3} - \log |1 - x| + C (c) x - \frac{x^{2}}{2} - \frac{x^{3}}{3} - \log |1 + x| + C (d) x - \frac{x^{2}}{2} + \frac{x^{3}}{3} - \log |1 + x| + C

\int \frac{x^{5}}{\sqrt{1 + x^{3}}} d x =

y = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + \dots Find \frac{d y}{d x}

\frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + . . . . . ., then \frac{d y}{d x} =______________________________.

E v a l u a t e : \int \frac{(3 x + 5) d x}{\sqrt{x^{2} + 4 x + 3}} .

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