M L Aggarwal Solutions for Chapter: Applications of Integrals, Exercise 3: CHAPTER TEST

Find the area of the region bounded by the parabola $y^2 = 16x$ and its latus-rectum. 

If the area of the region bounded by the triangle whose vertices are $(-1, 0), (1, 3)$and $(3, 2)$ is $k$ sq. units, then the value of $k$ is

If the area bounded by the parabola $y^2=4x$ and $y=2x-4$ is $k$ sq. units, then the value of $k$ is

Find the area bounded by the curve$y^2=4a^2(x-3)$and the lines $x=3, y=4a$. 

Draw a rough sketch and find the area of the region bounded by the two parabolas $y^2 = 8x$ and  $x^{2 }= 8y$ by using method of integration. 

Find the area of the region bounded by the curves $y = x^2 + 2,$ $y=x, x=0$ and $x=3.$

Find the area of the region bounded by $y=x^2+2, y=x, x=0$ and $y=3.$

 ${\int }_{-4}^2 |x+1|=$