Recent questions and answers in Integral Calculus and its applications

how become limits 0 to 2 for parabola and 2 to 4 for the circle..can u help me

answered Dec 6, 2014 by vijayalakshmi.r

1 answer

How to draw the graph for this ..

asked Dec 5, 2014 by govindan.abhilash

0 answers

How to draw a graph for this....do the needful...

answered Dec 3, 2014 by pady_1

1 answer

Prove that the curved surface area of a sphere of radius $r$ intercepted between two parallel planes at a distance $a$ and $b$ from the centre of the sphere is $\;2\pi r(b-a)$ and hence deduct the surface area of the sphere, $(b>a)$

answered Aug 19, 2013 by meena.p

1 answer

Find the area of the region bounded by the lines $y=x-5$ and $x$ -axis between the ordinates $x=3$ and $x=7$

answered Aug 19, 2013 by meena.p

1 answer

Find the surface area of the solid generated by revolving the arc of the parabola $\;y^{2}=4ax$ , bounded by its latus rectum about $x$ - axis.

answered Aug 17, 2013 by meena.p

1 answer

Find the length of the curve $x=a(t-\sin t),y=a(1-\cos t)$ between $t=0$ and $\pi$ .

answered Aug 17, 2013 by meena.p

1 answer

Find the perimeter of the circle with radius $a$ .

answered Aug 17, 2013 by meena.p

1 answer

The area of the region bounded by the curve $xy=1, x$ -axis $\;x=1.$ Find the volume of the solid generated by revolving the area mentioned about $x$ -axis.

answered Aug 16, 2013 by meena.p

1 answer

Derive the formula for the volume of a right circular cone with radius $'r'$ and height $'h'$ .

answered Aug 16, 2013 by meena.p

1 answer

Find the area of the region bounded $x^{2}=36y , y$ -axis, $y=2$ and $y=4$

answered Aug 16, 2013 by meena.p

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $(11$ $to14)$ $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ is revolved about major axis $a>b>0.$

answered Aug 16, 2013 by meena.p

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $\;y=x^{3},x=0,y=1$ is revolved about the $y$ -axis.

answered Aug 16, 2013 by meena.p

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $(11$ $to14)$ $2ay2=x(x-a)2$ is revolved about $x$ -axis , $a>0$

answered Aug 16, 2013 by meena.p

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $(11$ $to14)$ $y=1+x^{2},x=1,x=2,y=0$ is revolved around the $x$ - axis.

answered Aug 16, 2013 by meena.p

1 answer

Find the area of the circle whose radius is $a$ .

answered Aug 16, 2013 by meena.p

1 answer

Find the common area enclosed by the parabolas $4y^{2}=9x$ and $3x^{2}=16y$

answered Aug 16, 2013 by meena.p

1 answer

Find the area of the region bounded by the parabola $y^{2}=4x$ and the line $2x-y=4$

answered Aug 16, 2013 by meena.p

1 answer

Find the area of the region bounded by the ellipse $\large\frac{x^{2}}{9}+\frac{y^{2}}{5}$ $=1$ between the two latus rectums.

answered Aug 16, 2013 by meena.p

1 answer

Find the area included between the parabola $y^{2}=4ax$ and its latus rectum.

answered Aug 15, 2013 by meena.p

1 answer

Find the area of the region bounded by the curve $y=3x^{2}-x$ and the $x$ -axis between $x=-1$ and $x=1$

answered Aug 15, 2013 by meena.p

1 answer

Find the area of the region bounded by the lines $x-2y-12=0$ and $y$ -axis, $y=-1$ and $y=-3$

answered Aug 15, 2013 by meena.p

1 answer

Find the area of the region bounded by the lines $x-2y-12=0$ and $y$ -axis, $y=2$ and $y=5$

answered Aug 15, 2013 by meena.p

1 answer

Find the area of the region bounded by the lines $x-y=1$ and $x$ -axis, $x=-2$ and $x=0$

answered Aug 15, 2013 by meena.p

1 answer