Application of ...

The area of the figure bounded by $$f\left(x\right)=\sin{x}, g\left(x\right)=\cos{x}$$ in the first quadrant is:

Points of inflexion of the curve
$$y = x^4 - 6x^3 + 12x^2 + 5x + 7$$ are

The area under the curve $$y=2x^3+4x^2$$ between $$x=2,x=4$$ is 

If the curves $$y=x^3+ax$$ and $$y=bx^2+c$$ pass through the point $$(-1, 0)$$ and have common tangent line at this point, then the value of $$a+b$$ is?

The area (in sq. units) of the region $$\{ x \in R:x \ge ,y \ge 0,y \ge x - 2\ $$  and  $$y \le \sqrt x \} $$, is

The area of the plane region bounded by the curves  $$x + 2 y ^ { 2 }= 0 \text { and } x + 3 y ^ { 2 } = 1$$

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

The area bounded by the parabola $$y=x^{2}$$ and the straight line $$\mathrm{y}=2\mathrm{x}$$ is

The area bounded by the two parabolas $$y^{2}=8x$$ and $$x^{2}=8y$$ is

The area of the region bounded by the curve $$y=x^{2}+1$$ and $$y=2x-2$$ between $${x}=-1$$ and $${x}=2$$ is: