$100\int_a^bln\left(x\right)sin\left(cx\right)dx$

$\frac{\sqrt{a}}{\sqrt{-bx^2+a}}\cdot\frac{1}{\sqrt{a}}$

$28j+20-14j+10-12$

$\frac{3x^3+3x^2-21x+4}{x-2}$

$\int\frac{4+z}{4\left(z^2+4\right)}dz$

$\frac{dy}{dx}\left(x^2+\sin\left(3x\right)\right)$

$\frac{\left(1+\cos\left(x\right)\right)}{\sin\left(x\right)}+\tan\left(x\right)=\frac{\left(1+\cos\left(x\right)\right)}{\sin\left(x\right)\cdot\cos\left(x\right)}$