M L Aggarwal Solutions for Chapter: Applications of Integrals, Exercise 2: EXERCISE

 Find the area of the region bounded by the curve $xy-3x-2y-10=0$, the $x-axis$ and the lines $x=3, x=4$. 

The area included between the x-axis and the curve $a^{2}y=x^2\left(x+a\right)$ is $\frac{a^2}{k}$ sq.units, then find the value of $k$.

The area bounded by the $x-axis$, part of the curve $y=1+\frac{8}{x^2}$ and the ordinates at $x=2$ and $x=4$ is $m$. If the ordinate at $x=a$ divides the area into two equal parts, if $a=2\sqrt{k}$. 

Find the value of $m+k$

Find the area bounded by the curves $y^2 = 4a(x + a)$  and$y^2 = 4b(b - x)$. 

If the area enclosed by the curve$y = x^3 - 6x^2 + 8x$, $0\le x\le 4$and the $x-axis$ is $k$ sq. units, then the value of $k$ is