Given a curve $y=7 x-x^3$ and $x$ increases at the rate of 2 units per second. The rate at which the slope of the curve is changing, when $x=5$ is

$\int \frac{1}{x(\log x)^2} d x$ is equal to

The value of $\int_{-1}^1 x|x| d x$ is

Area of the region bounded by curve $y^2=4 x$ and the $X$-axis between $x=0$ and $x=1$ is