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Recent questions and answers in Integral Calculus and its applications
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TN XII Math
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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,$(b>a)$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-5
p122
q4
modelpaper
oct-2006
jun-2009
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 $x=7$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q3
aims-12-math
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.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-5
p122
q3
modelpaper
oct-2009
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 $\pi$.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-5
p122
q2
modelpaper
mar-2007
mar-2009
answered
Aug 17, 2013
by
meena.p
1
answer
Find the perimeter of the circle with radius $a$.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-5
p122
q1
modelpaper
jun-2006
oct-2008
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.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p118
q16
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 $'h'$.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p118
q15
answered
Aug 16, 2013
by
meena.p
1
answer
Find the area of the region bounded $x^{2}=36y , y$-axis,$y=2$ and $y=4$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q5
aims-12-math
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 $a>b>0.$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p118
q14
modelpaper
jun-2008
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.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p118
q13
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$$to14)$ $2ay2=x(x-a)2$ is revolved about $x$-axis ,$a>0$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q12
answered
Aug 16, 2013
by
meena.p
1
answer
Find the volume of the solid that results when the region enclosed by the given curve: $(11$$to14)$$y=1+x^{2},x=1,x=2,y=0$ is revolved around the $x$- axis.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q11
answered
Aug 16, 2013
by
meena.p
1
answer
Find the area of the circle whose radius is $a$ .
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q10
answered
Aug 16, 2013
by
meena.p
1
answer
Find the common area enclosed by the parabolas $4y^{2}=9x$ and $3x^{2}=16y$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q9
modelpaper
mar-2006
answered
Aug 16, 2013
by
meena.p
1
answer
Find the area of the region bounded by the parabola $y^{2}=4x$ and the line $2x-y=4$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q8
answered
Aug 16, 2013
by
meena.p
1
answer
Find the area of the region bounded by the ellipse $\large\frac{x^{2}}{9}+\frac{y^{2}}{5}$$=1$ between the two latus rectums.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q7
modelpaper
oct-2007
answered
Aug 16, 2013
by
meena.p
1
answer
Find the area included between the parabola $y^{2}=4ax $ and its latus rectum.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q6
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 $x=1$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q4
modelpaper
jun-2007
mar-2009
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 $y=-3$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q2
q2-2
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 $y=5$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q2
q2-1
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 $x=0$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q1
q1-2
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 $x=4$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q1
q1-1
answered
Aug 15, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{1}\sqrt{9-4x^{2}}dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
q3
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{\large\frac{\pi}{2}}\cos^{3}x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q2
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_{0}^{\infty}x^{6}e^{\large\frac{-1}{2}}dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-3
p103
q4
q4-2
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_{0}^{1} x e^{-2x} dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p103
q4
q4-1
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_{0}^{\large\frac{\pi}{6}}\sin^{7}3x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-3
p103
q3
q3-2
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_{0}^{\large\frac{\pi}{4}}\cos^{8}2x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p103
q3
q3-1
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_{0}^{\large\frac{\pi}{2}}\cos^{9} x dx $
tnstate
class12
bookproblem
ch7
sec-1
exercise7-3
p103
q2
q2-2
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits_{0}^{\large\frac{\pi}{2}}\sin^{6}x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-3
p103
q2
q2-1
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits\cos^{5} x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-3
p103
q1
q1-2
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate: $\int\limits\sin^{4} x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-3
p103
q1
q1-1
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{\large\frac{\pi}{6}}^{\large\frac{\pi}{3}}\large\frac{dx}{1+\sqrt{\tan x}}$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q10
modelpaper
oct-2007
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{0}^{1} x(1-x)^{10}dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q9
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{0}^{3}\large\frac{\sqrt{x}dx}{\sqrt{x}+\sqrt{3-x}}$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q8
modelpaper
mar-2006
mar-2007
jun-2009
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{\large\frac{-\pi}{4}}^{\large\frac{\pi}{4}}x \sin^{2}xdx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q6
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{0}^{1}\log\large(\frac{1}{x}$$-1)$$dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q7
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{\large\frac{-\pi}{2}}^{\large\frac{\pi}{2}}\sin^{2}x\cos x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q5
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{0}^{\large\frac{\pi}{2}}\sin^{3}x\cos xdx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q3
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{\large\frac{-\pi}{4}}^{\large\frac{\pi}{4}}x^{3}\cos^{3} xdx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q2
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{-1}^{1}\sin x\cos^{4} x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q1
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{\large\frac{\pi}{2}} e^{3x}\cos x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q11
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{1} x^{2} e^{x} dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q10
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{\large\frac{\pi}{2}}\sin 2x \cos x dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q9
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{1}\large\frac{(\sin^{-1}x)^{3}}{\sqrt{1-x^{2}}}$$dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q8
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{1}^{2}\large\frac{dx}{x^{2}+5x+6}$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q7
answered
Aug 14, 2013
by
meena.p
1
answer
Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{\pi/2}\large(\frac{\sin^{-1}x^{3}}{\sqrt{1-x^{2}}})$$dx$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-1
p86
q5
answered
Aug 14, 2013
by
meena.p
1
answer
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