$\frac{1}{\sqrt{7+8x^2}}$

$b^2-14b+49=0$

$\int_{\frac{\pi}{12}}^{\frac{\pi}{6}}\left(\csc^4\left(3x\right)\cot\left(3x\right)\right)dx$

$\frac{dy}{dx}=3x\cdot e^y$

$\int\left(x^{-2}\right)dx$

$\lim_{x\to\frac{1}{2}}\left(\frac{\left(8x+4\right)\sec\left(2x+1\right)}{4x^2-1}\right)$

$\int\frac{x^2+x}{\left(x^3-3x^2+x-3\right)}dx$