Recent questions tagged kvquestionbank2012

Evaluate:\[\int _0 ^ 2 | x^2+2x-3|dx\]

asked Feb 3, 2013 by meena.p

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

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int _0 ^{3/2} |x\cos \pi x|dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int _0 ^ 1 \frac{x}{1+x^4}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int _0 ^{\pi/3} \frac {\cos x}{3+4\sin x}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int _0^{\pi/2} \frac{dx}{(a^2\sin^2x+b^2\cos^2x)^2}\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int _0^{\pi/4} log(1+\tan \theta) d\theta\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int _ {\pi/3}^{\pi/2} \frac{ \sqrt {1+\cos x}}{(1-\cos x)^{7/2}}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {dx}{x(x^7+1)}\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \sqrt{\frac{x}{a^3-x^3}}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {dx}{(sin x-2\cos x)(2 \sin x+\cos x)}\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {\sqrt {\cos 2x}}{\sin x}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {\cos x}{(1+\sin x)(2+\sin x)}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {8}{(x+2)(x^2+4)}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac{\sin x+\cos x}{\sin ^4x+\cos ^4x}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \large 2^{2^{2^{x}}}2^{2^{x}}2^x dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int S \sqrt {\tan \theta} d\theta\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {1}{x^4+1} dx\]

asked Feb 3, 2013 by meena.p

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

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {2 \sin x +3 \cos x}{3 \sin x+4 \cos x}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {1}{4+5 \cos x}dx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {dx}{(x+1)\sqrt {x^2+1}},x>-1\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {dx}{a^2 \sin^2 x+b^2\cos^2x}\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int e^{\sin 2x}\sin 2xdx\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac {dx}{\sqrt {\sin ^3x}\sin(x+\alpha)}\]

asked Feb 3, 2013 by meena.p

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Evaluate:\[\large\int x^2\;\sqrt [3] {2x-1} dx\]

asked Feb 3, 2013 by meena.p

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

asked Feb 3, 2013 by meena.p

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Evaluate:\[\int \frac{1+\tan x}{x+log \sec x} dx\]

asked Feb 2, 2013 by meena.p

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Evaluate: \[\int \frac{1}{e^x-1}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \sqrt {\frac {a-x}{a+x}}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \frac{\sqrt {\tan x}}{\sin x \cos x}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \frac{1+\sin 2x}{1+\sin^2x}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \frac{\sin 2x}{a^2\cos^2x+b^2\sin^2x}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \frac{\sin x+\cos x}{\sqrt{1+\sin 2x}}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \sin^2\bigg(2\tan^{-1}\sqrt {\frac{1+x}{1-x}}\bigg)dx.\qquad -1\leq x \leq1\]

asked Feb 2, 2013 by meena.p

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Evaluate: \[\int \frac{e^{2logx}-1}{e^{2logx}+1}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \frac{1}{\sin^2x\cos^2x}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int 3^{-2x}e^{-2x}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \cos^{-1}(\sin x)dx\]

asked Feb 2, 2013 by meena.p

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Evaluate: \[ \int \frac {1}{1+\sin x} dx\]

asked Feb 2, 2013 by meena.p

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Evaluate: \[\int \frac{(a^x+b^x)^2}{a^xb^x}dx\]

asked Feb 2, 2013 by meena.p

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Evaluate:\[\int \bigg(10^x+10x+\frac{10}{x}+\frac{x}{10}+x^{10}+10^{10}\bigg)dx\]

asked Feb 2, 2013 by meena.p

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Evaluate: \[\int |\; x\; |dx\]

asked Feb 2, 2013 by meena.p

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$\large \int \frac {\cos x}{\cos(x-a)} \normalsize dx=A\;x+B\;log \cos(x-\alpha),then $\[(a)\;A=\cos \alpha \qquad (b)\;B=\sin \alpha \qquad(c)\;A=\sin \alpha \qquad(d)\;B=\cos \alpha\]

asked Feb 1, 2013 by meena.p

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If $\Large \int \normalsize \tan^4 xdx = a\tan^3x+b\tan x+cx,then $\[(a)\;a=\frac{1}{3} \qquad (b)\;b=-1 \qquad(c)a=1\qquad(d)\;c=1\]

asked Feb 1, 2013 by meena.p

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If $\Large \int \frac {dx}{(x+1)(x-2)} \normalsize = A\; log(x+1)+B\; log(x-2)+c,then $\[(a)\;A+B=0 \qquad (b)\;AB=- \qquad(c)AB=\frac{1}{9}\qquad(d)\;AB=-9\]

asked Feb 1, 2013 by meena.p

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$S\sin 2x\;log\;\cos x\;dx=$\[(a)\;\frac{1}{2}\cos^2x-cos^2x log\cos x \qquad (b)\;\frac{1}{2}\cos^2x+\cos^2log\cos x \qquad(c)\;\cos^2x.log\cos x \qquad(d)\;\cos^2x (1-log\cos x)\]

asked Feb 1, 2013 by meena.p

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$\Large \int \frac {dx}{x+\sqrt x}=$\[(a)\;\log (1+\sqrt x) \qquad (b)\;\frac{1}{2}\log (1+\sqrt x) \qquad(c)\;2\log (1+\sqrt x) \qquad(d)\;\log (x+\sqrt x)\]

asked Feb 1, 2013 by meena.p

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$\Large\int \frac {dx}{(2-x)\sqrt{1+x}}=$\[(a)\;2\tan^{-1}\sqrt {1+x}\qquad (b)\;\frac{1}{2}\tan^{-1}\sqrt{1+x}\qquad(c)\;\tan^{-1}\sqrt {1+x}\qquad(d)\;log\bigg\{ \normalsize (2+x)\sqrt{1+x}\bigg\}\]

asked Feb 1, 2013 by meena.p

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$\Large \int \frac{e^{log}\bigg(1+\frac{1}{x^2}\bigg)dx}{x^2+\frac{1}{x^2}}=$\[(a)\;\frac{1}{\sqrt 2} \tan^{-1}\bigg(x+\frac{1}{x}\bigg)\qquad (b)\;\frac{1}{\sqrt 2}\tan^{-1}\bigg(\frac{x-\frac{1}{x}}{\sqrt 2}\bigg)\qquad(c)\;\sqrt 2 \tan^{-1}\bigg(x+\frac{1}{x}\bigg)\qquad(d)\;\frac{1}{\sqrt 2}\tan^{-1}\bigg(\frac{1}{x}-x\bigg)\]

asked Jan 31, 2013 by meena.p

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