$g=\frac{3}{2}g-4$

$\left(2x^a-8y^a\right)^2$

$\int\frac{1}{\sqrt{2x+7}}dx$

$\int_0^{\frac{\pi}{4}}\left(\frac{\left(1+\cos\left(x\right)\right)}{\cos\left(x\right)^2}\right)dx$

$8\cos^2x=5$

$\lim_{x\to0}\left(e^x-1\right)^x$

$\log\left(2x-3\right)-\log\left(3x-1\right)=-\log\left(2\right)$