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$-2ln|x-2|+3ln|x-3|+C$

y = k e x 2 2 - 1

$\frac{dr}{dt}=\frac{1}{\pi }$

$[-1/\sqrt{3},0]\cup [1/\sqrt{3},+\mathrm{\&infty;}]$

$\frac{cosx}{2\sqrt{sinx}}$

$A={\int }_0^1\frac{ln(x+1)\sqrt{x_{}^2+2x+2}}{x+1}dx$

$\frac{1}{2}{\int }_0^{\pi /2}{sin}_{}^{2}3\theta d\theta =\frac{\pi }{12}$