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3.1 Antiderivatives

1.

(a) $\displaystyle{x^{2} - 3x + C}$ (b) $\displaystyle{x^{5} + C}$ (c) $\displaystyle{\frac{3}{5}x^{\frac{5}{3}} + C}$ (d) $\displaystyle{2\sqrt{x} + C}$ (e) $\displaystyle{-\log{\vert\cos{x}\vert} + C}$

(f) $\displaystyle{\tan{x} + C}$ (g) $\displaystyle{\frac{x}{2} - \frac{\sin{2x}}{4} + C}$ (h) $\displaystyle{\frac{1}{4}\log{\vert\frac{x-2}{x+2}\vert}+C}$ (i) $\displaystyle{\frac{1}{2}\tan^{-1}{\frac{x}{2}} + C}$