$\lim_{x\to b}\left(\frac{x^{\frac{3}{2}}-b\sqrt{x}}{x-\sqrt{bx}}\right)$

$\lim_{x\to\infty}\left(\frac{4x^2}{e^{2x}}\right)$

$\left(-3a^2b+4b-5a\right)-14a^2b+4$

$\lim_{x\to\infty}\left(\frac{\ln\left(4x+7\right)}{\ln\left(5x+3\right)+9}\right)$

$\int\:\frac{12x}{\left(7-x^2\right)^{\frac{5}{3}}}dx$

$\int\sin4y\cos5ydy$

$\left(-9x^3y^4\right)\left(-6x^3y^2\right)$