Recent questions tagged kvquestionbank2012

Find the area of the region \[\{(x,y):y^2\leq4x,4x^2+4y^2=9\}\]

asked Feb 4, 2013 by meena.p

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Find the area of the region given by : $ \{(x,y):x^2 \leq y\leq|x|\}$

asked Feb 4, 2013 by meena.p

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Sketch the region of the ellipse and find its area using integration. $\Large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\qquad a>b.$

asked Feb 4, 2013 by meena.p

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Find the area of the circle $ x^2+y^2=a^2$

asked Feb 4, 2013 by meena.p

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Sketch the region common to the circle $x^2+y^2=25$ and the parabola $y^2=8x$ also find the area of the region using integration.

asked Feb 4, 2013 by meena.p

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Find the area included between the curves $ (x-1)^2+y^2=1\;and\;x^2+y^2=1$

asked Feb 4, 2013 by meena.p

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Using integration find the area of the triangle ABC whose vertices are A(3,0), B(4,6) and C(6,2)

asked Feb 4, 2013 by meena.p

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Using integration find the area of the triangle ABC where A is (2,3) B(4,7) and C(6,2)

asked Feb 4, 2013 by meena.p

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Find the area of the smaller region bounded by the curve $ \large\frac{x^2}{16}+\frac{y^2}{9}=1$ and the straight line $ \large\frac{x}{4}+\frac{y}{3}=1$

asked Feb 4, 2013 by meena.p

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Sketch the region bounded by the curves $ y=x^2\;and\;y=\large\frac{2}{1+x^2}$ and find its area.

asked Feb 4, 2013 by meena.p

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Find the area of the region lying above x-axis and included between the curves $ x^2+y^2=2ax\;and\;y^2=ax$

asked Feb 4, 2013 by meena.p

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Find the area of the region bounded by the curve C. $y=\tan x $ the tangent drawn to C at $x=\pi/4$ and the x-axis.

asked Feb 4, 2013 by meena.p

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Sketch the region bounded by the curves $ y=\sqrt {5-x^2}\;and\; y=|x-1|$ and find its area.

asked Feb 4, 2013 by meena.p

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Show that the area enclosed by the circle $ x^2+y^2=64a^2$ and the parabola $y^2=12ax$ is $ a^2 \bigg(\frac{16}{\sqrt 3}+\large\frac {64\pi}{\sqrt 3}\bigg)$

asked Feb 4, 2013 by meena.p

1 answer

Find the area of the segment cut off from the parabola $ y^2=2x$ by the line $ y=4x-1$

asked Feb 4, 2013 by meena.p

1 answer

Find the area included between the parabolas $ y^2=4ax\;and\;x^2=4ay$

asked Feb 4, 2013 by meena.p

2 answers

Find the area bounded by the x-axis part of the curve $ y=1+\Large\frac{8}{x^2}$ and the ordinates x = 2 and x = 4 If the ordinate at x = a divides the area into two equal parts find 'a'

asked Feb 4, 2013 by meena.p

1 answer

Find the area bounded by the curve y = 2 cosx and the x-axis from x = 0 to x =$2\pi$

asked Feb 4, 2013 by meena.p

0 answers

Evaluate:\[\int \limits _{\pi/6}^{\pi/3} \frac{dx}{1+\sqrt {\tan x}}\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int \limits _0 ^ \pi \Large\frac{e^{\cos x}}{[e^{\cos x}+e^{-\cos x}]}dx\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int\limits_0^1 \sqrt{\frac{1-x}{1+x}}dx\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int\limits_0^{\pi/2} \frac {\sqrt {\tan x}}{1+\sqrt {\tan x}}dx\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int\limits_0^{16} \frac{x^{1/4}}{1+x^{1/2}}dx\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int_{-\pi}^\pi (\sin ^{-1}x+x^{295})\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int \limits_0^{\pi /2} \frac{1}{\cos (x-\pi/3) \cos (x-\pi/6)}\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int\limits_0^1 x\sqrt{\large\frac{1-x^2}{1+x^2}}$$dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\large\int\limits_{-\pi}^\pi \frac {2x(1+\sin x)}{1+\cos ^2x}$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_0^{\pi/2} log (\cos \theta) d\theta$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits _0^{\pi/2} \frac{1}{2\cos x+4 \sin x}dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int_{-1}^1 log \bigg(\large\frac{4-x}{4+x}\bigg)dx\]

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_3^9 \frac {\sqrt {12-x}}{\sqrt x+\sqrt {12-x}}dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_{-\pi}^{\pi} x^{20} \sin ^9x dx $

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_1^4 [\; \left |x-1 \right|+\left |x-2 \right |+\left| x-3\right |\;]\;dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate: $\int\limits_0^ a \frac{dx}{x+\sqrt {a^2-x^2}}$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_0^ {\pi/2} \large\frac {\sin x-\cos x}{1+\sin x\cos x}$$dx$

asked Feb 4, 2013 by meena.p

0 answers

Evaluate:$\int\limits_{-\pi/2}^ {\pi/2} |\sin x|dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$ \int \limits_{-1}^{3/2} | x \sin \pi x|dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int\limits_0^ \pi \large\frac{xdx}{a^2\cos^2x+b^2\sin^2x}$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_0^ {\pi/4} \sin 2x \sin 3x dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_0^ 1 \Large \frac{dx}{\sqrt{x+1}+\sqrt x}$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_0^ {2\pi} \frac{\sin 2\theta}{a-b \cos \theta}d\theta$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_{-5}^ 8 |x+3|dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\int \limits_{-\pi/2}^ {\pi/2} \cos ^4x dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:\[\int^ 0 \frac{xdx}{1+\sin x+\cos x}\]

asked Feb 4, 2013 by meena.p

0 answers

Evaluate:$\int \limits_0^ {\large\frac{\pi}{2}} log\tan x$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate $\int \limits_0^ 1 x(1-x)^n dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\Large\int \limits_{\normalsize 0}^{\normalsize \pi} $$\large\frac{x\; \tan x}{\sec x\; \text{cosec} x}$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate: $ \int \limits _0 ^{\pi} log(1+\cos x)dx$

asked Feb 3, 2013 by meena.p

1 answer

Evaluate:$\int\limits _0 ^{\pi} \large\frac {x \sin x}{1+\cos ^2 x}$$dx$

asked Feb 3, 2013 by meena.p

1 answer

Evaluate: $\int\limits _{-\pi/2} ^{\pi/2} \cos ^4x dx$

asked Feb 3, 2013 by meena.p

1 answer

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