Integrate $\int_{-1}^{2}{(2{{x}^{2}}+x)dx}$

The n^th term of a sequence is given by ${{2}^{2n-1}}$ . Find the sum of the first four terms. 

Solve the inequality: $-7\le 9-8x<17-x$

Solve for x in $\frac{4x-6}{3}\le \frac{3+2x}{2}$

If $f(x)=3{{x}^{3}}+4{{x}^{2}}+x-8$ what is the value of f(-2)?

$\frac{d}{dx}\left[ \log (4{{x}^{3}}-2x) \right]$ is equal to

if $y=6{{x}^{3}}+2{{x}^{-2}}-{{x}^{-3}}$ find $\frac{dy}{dx}$

If $\left| \begin{matrix}   2 & -4  \\   x & 9  \\\end{matrix} \right|=58$ , find the value of x

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line.