goals

The area bounded by the curve $$y = {x^2} + 4x + 5$$ the axes of coordinates and the minimum ordinates is

Find the area bounded by the curves $$x = a\cos t, y = b\sin t$$ in the first quadrant

The area bounded by the graph $$y=\left|\left[x-3\right]\right|$$, the $$x-$$axis and the lines $$x=-2$$ and $$x=3$$ is ($$\left[.\right]$$ denotes the greatest Integer function):

The area bounded by the curve $$y =\sqrt{x}$$, the line $$2y + 3 = x$$ and the x-axis in the first quadrant is

The area bounded by the curves $$y^2 = 4 + x$$ and $$x + 2y = 4$$, is