Area Under Curves

What is the area bounded by the lines $x=0$, $y=0$ and $x+y+2=0$ ?

Consider the line $x=\sqrt{3} y$ and the circle $x^2+y^2=4$. What is the area of the region in the first quadrant enclosed by the $x$-axis, the line $x=\sqrt{3}$ and the circle?

What is the area of the triangle bounded by the sides $x=0, y=0$ and $x+y=2$ ?

What is the area enclosed between the curves $y^2=12 x$ and the lines $x=0$ and $y=6$ ?

What is the area bounded by $y=\tan x, y=0$ and $x=\frac{\pi}{4}$ ?

What is the area of the parabola $x^2=y$ bounded by the line $y=1$ ?

What is the area of the region bounded by the lines $y=x, y=0$ and $x=4$ ?

What is the area of the region enclosed by $y=2|x|$ and $y=4$ ?

What is the area of one of the loops between the curve $\mathrm{y}=\mathrm{c} \sin \mathrm{x}$ and x -axis?

What is the area of the region enclosed between the curve $y^2=2 x$ and the straight line $y=x$ ?

What is the area of the region bounded by $x-|y|=0$ and $x-2=0 ?$

Consider the line $x=\sqrt{3} y$ and the circle $x^2+y^2=4$. What is the area of the region in the first quadrant enclosed by the $x$-axis, the line $x=\sqrt{3} y$ and the circle?