$\int\left(4x-7\right)\cdot ln\left(2x\right)dx$

$1000-4x^2$

$\int_0^2a\cdot b\cdot cos^2\left(x\right)\cdot e^{\left(a\cdot b\cdot sin\left(x\right)\cdot cos\left(x\right)\right)}dx$

$\left(x^2y\right)^3\left(xy\right)$

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

$\int sen^5\left(\frac{x}{4}\right)\:cos^2\left(\frac{x}{4}\right)dx$