Embibe Experts Solutions for Exercise 3: Assignment Set - 2

The area bounded by curve $f\left(x\right)=|\tan x+\cot x|-|\tan x-\cot x|$ between lines $x=0, x=\frac{\pi }{2}$ and $x$-axis, is

The area bounded by curve $f\left(x\right)=x^3$ and $g\left(x\right)=\sqrt[3]{x}$ is (in square units)

The area enclosed by the curve $y^2+x^4=x^2$ is $\lambda$ square units then $9\lambda$ is equal to

The area enclosed by the parabola $y^2=64x$ and its latus rectum is $\lambda$ sq. units then the value of $3\lambda$ is

The area bounded by the curve $y=x^4-2x^3+x^2+3$, the axis of abscissas and two ordinates corresponding to the points of minimum of function $y\left(x\right)$ is $\mathrm{A}$ then $30\mathrm{A}$ is equal to

The curve $x=4-3y-y^2$, cuts the $y$-axis into two points $\mathrm{P}$ and $\mathrm{Q}.$ Then the area enclosed by $y$-axis and the portion of the curve lies between $\mathrm{P}$ and $\mathrm{Q}$ is $\mathrm{A}$ sq. units then $6\mathrm{A}$ is

If the area bounded by the region $y=|x-1|$ and $y=1$ is $k$ sq. units, then the value of $k$ is

If the area between the curves $y=x{e}^x$ and $y=x{e}^{-x}$ and line $x=1$ is $\mathrm{A}$ square units then $7e\mathrm{A}$ is equal to