The marginal cost of production of x units of a commodity is $56 + \frac{3}{2}x$. It is known that fixed costs are Rs.115. Then the total cost of producing 50 units is:-

The area (sq.units) bounded by the curve y = sinx, π ≤ x ≤ 2π and the x-axis is

Area (in sq. units) of the region bounded by the curves $y = -1$, $y = 2$, $x = y^3$ and $x = 0$ is

The area (in sq. units) of the region bounded by the curve $x=at^2$, $y=2at$ between the ordinates corresponding to t = 1 and t = 2 is

The area of region $\{(x,y): 9x^2+16y^2\le144, x\ge0, y\ge0\}$ is-

The area (in sq.units) of the region enclosed by the curve $y = \cos x$, $\frac{-\pi}{2} \leq x \leq \frac{\pi}{2}$ and the x - axis is:

The area of the region bounded by the curves $x^2=4y$ and $x=4y$ is