$$\int_0^{\sqrt{\ln\left(2\right)}}2xe^{x^2}dx$$

$$-4+1+-3$$

$$\frac{1}{2}\tan^2\left(x\right)$$

$$+\left(\:-54\:+\:6\right)\:-\:\left(\:-\:5\:-\:19\right)\:$$

$$-8\cdot\left(2-1\right)$$

$$-\frac{1}{5}+\frac{1}{15}x<\frac{2}{3}x$$

$$y\frac{dx}{dy}=\frac{x}{4}$$