Recent questions tagged class12

Integrate : $\int \cos (\log x)dx$

asked Dec 24, 2013 by meena.p

1 answer

$\int x \sin x \cos x dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate the function $\large \frac {\log^{99} x}{x}$

asked Dec 24, 2013 by balaji.thirumalai

1 answer

Intergate : $\int \sqrt {\large\frac{x+a}{x}}$$dx$

asked Dec 24, 2013 by meena.p

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Integrate : $\int \large\frac{\sec^4 x }{\sqrt {\tan x}}$$dx$

asked Dec 24, 2013 by meena.p

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Integrate : $\int \large\frac{1}{x+\sqrt x}$$dx$

asked Dec 24, 2013 by meena.p

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Integrate : $\int e^x (ae^x+b)^n dx$

asked Dec 24, 2013 by meena.p

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Integrate : $\int \large\frac{6}{7} . \frac {e^{\sqrt x}. \cos (e^{\sqrt x})}{\sqrt x }$$dx$

asked Dec 24, 2013 by meena.p

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Integrate : $\int \log \large\frac{[x +\sqrt {1+x^2}]}{\sqrt {1-x^2}}$$dx$

asked Dec 24, 2013 by meena.p

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Integrate : $\int \large\frac{4}{9} $$.x^{3/2}. \sin (x)^{5/2}dx$

asked Dec 24, 2013 by meena.p

1 answer

The number of points at which the function $f(x)=\large\frac{1}{\log|x|}$ is discontinuous is

asked Dec 24, 2013 by sreemathi.v

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Integrate : $ \int \sqrt {1+ \sin 4x}$$dx$

asked Dec 24, 2013 by meena.p

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The value of $f(0)$ so that the function $f(x)=\large\frac{2x-\sin^{-1}x}{2x+\tan^{-1}x}$ is continuous at each point on its domain is

asked Dec 24, 2013 by sreemathi.v

1 answer

Integrate : $\int \large\frac{1}{\sin (x-a) \cos (x-b)} $$ dx$

asked Dec 24, 2013 by meena.p

1 answer

If the function $f(x)=\left\{\begin{array}{1 1}\large\frac{x^2-(A+2)x+A}{x-2}&x\neq 2\\2&x=2\end{array}\right.$ is continuous at $x=2$ then

asked Dec 24, 2013 by sreemathi.v

1 answer

Integrate : $\int \tan x \tan 2x \tan 3x dx$

asked Dec 24, 2013 by meena.p

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Intergate : $\int \large\frac{5}{7} $$ \sqrt {\cos (7x)}. \sin 7x dx$

asked Dec 24, 2013 by meena.p

1 answer

Let $f:R\rightarrow R$ be a differentiable function having $f(2)=6,f'(2)=\large\frac{1}{48}$.Then $\lim\limits_{x\to 2}\int_6^{f(x)}\large\frac{4t^3dt}{x-2}$ equals

asked Dec 24, 2013 by sreemathi.v

1 answer

Integrate : $\int \large\frac{ax^{a-1}+a^x \log a}{x^a+a^x}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{7}{9} \times \frac{e^{\Large \tan ^{-1}(x^4)}}{(1+x^8)} $$\times x^3 dx$

asked Dec 24, 2013 by meena.p

1 answer

integrate : $\int (x^3-1)^{\large\frac{1}{3}}.x^5$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \cos^3 x \sin ^2 x dx$

asked Dec 24, 2013 by meena.p

1 answer

$\lim\limits_{n\to \infty}\sum\limits_{r=1}^n\large\frac{\pi}{n}$$\sin\large\frac{\pi r}{n}$ is

asked Dec 24, 2013 by sreemathi.v

1 answer

Integrate : $\int \large\frac{7}{9} x^{3/2} \tan ^5 (x^{5/2}) \sec^2 (x^{5/2}).dx$

asked Dec 24, 2013 by meena.p

1 answer

The function $f(x)=\left\{\begin{array}{1 1}1&x\leq -1\\|x|&-1< x < 1\\0&x\geq 1\end{array}\right.$

asked Dec 24, 2013 by sreemathi.v

1 answer

Integrate :$\int \large\frac{e^{\Large \log (\sin x)}}{\cos x}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int 5x^2 \tan ^2 (6x^3) dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sqrt {2x-3}- \sqrt {2x+1}}$$dx$

asked Dec 24, 2013 by meena.p

1 answer

$f'(x) = a cos x + b \sin x ; f'(0)=4; f(0)=3; f \bigg(\large\frac{\pi}{2}\bigg)$$=5$ find the value of $f(x)=$?

asked Dec 24, 2013 by meena.p

1 answer

A line with positive direction cosines passes through the point $ P(2,-1,2)$ and makes equal angle with coordinate axes. The line meets the plane $2x+y+z=9$ at the point $Q$. The length of the segment $PQ$=?

asked Dec 23, 2013 by rvidyagovindarajan_1

1 answer

If the line $\large\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z-2}{2}$ lie in the plane $x+3y-\alpha z+\beta=0, \;\;then\:\:(\alpha,\beta)=?$

asked Dec 23, 2013 by rvidyagovindarajan_1

1 answer

If $f'(x) =2x -3x^2$ and $f(0)=4; $ find $f(x)$=?

asked Dec 23, 2013 by meena.p

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Integrate : $ \int \sqrt {x} (6x^4 +2(x) ^{3/2} +\large\frac{8}{\sqrt x } ) $$dx$

asked Dec 23, 2013 by meena.p

1 answer

Find the equation of the tangent and normal to the curve $ \;y=\large\frac{1+\sin x}{\cos x}$ at $\;x=\large\frac{\pi}{4}$

asked Dec 23, 2013 by balaji.thirumalai

1 answer

The cost of construction for an open tank is Rs. 200 per sq. unit for the base, and the cost for doing the walls is Rs. 150 per sq. unit. An open tank is to be constructed with rectangular base of height 2 units and volume of 8 cubic units.What is the cost of the least expensive open tank given these constraints?

asked Dec 23, 2013 by balaji.thirumalai

1 answer

The work functions for metals A, B and C are respectively $1.92\: eV, 2\: eV \: and \: 5 \: eV$. According to Einstein’s equation, the metals which will emit photoelectrons for a radiation of wavelength $4100\: A^{\circ} $ is / are

asked Dec 23, 2013 by thanvigandhi_1

1 answer

The momentum of a photon of energy $1MeV$ in kgm/s, will be

asked Dec 23, 2013 by thanvigandhi_1

1 answer

The photoelectric effect is based on

asked Dec 23, 2013 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{ 6 \cos (\log (3x)+1)}{7x} $$dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $ \int \sqrt {2x^2-5x +6 } $$dx$

asked Dec 23, 2013 by meena.p

1 answer

An X-ray tube operates on $30\: kV$. The minimum wavelength emitted is :

asked Dec 23, 2013 by thanvigandhi_1

1 answer

Which of the following radiations has least wavelength?

asked Dec 23, 2013 by thanvigandhi_1

1 answer

The time taken by a photoelectron to come out after the photon strikes is approximately

asked Dec 23, 2013 by thanvigandhi_1

1 answer

The threshold frequency for a metallic surface corresponds to energy of $6.2\: eV$ and the stopping potential for a radiation incident on this surface is $5V$. The incident radiation lies in

asked Dec 23, 2013 by thanvigandhi_1

1 answer

Compute the typical de Broglie wavelength of an electron $(\lambda)$ in a metal at $ 27^{\circ}C$ and compare it with the mean separation between two electrons(r) in a metal which is given to be about $2 \times 10^{-10}m$

asked Dec 23, 2013 by thanvigandhi_1

1 answer

The function $f(x)=\sin^{-1}(\cos x)$ is

asked Dec 23, 2013 by sreemathi.v

1 answer

The work function of the following metals are : $Na = 2.75\: eV; K = 2.3\: eV ; Mo = 4.17\: eV ; Ni = 5.15 \: eV$. Which of these metals will not give photoelectric emission for a radiation of wavelength $3300\: A^{\circ}$ the photocell? from a $ He – Cd$ laser placed $1m$ away from

asked Dec 23, 2013 by thanvigandhi_1

1 answer

What is the de Broglie wavelength of a dust particle of mass $1 \times 10^{-9}$ kg drifting with a speed of $\;2.2 m/s$

asked Dec 23, 2013 by thanvigandhi_1

1 answer

Integrate : $\int\large\frac{\log _e \tan ^{-1} (3x)}{4 (1+gx^2)}$

asked Dec 23, 2013 by meena.p

1 answer

The work function for a certain metal is $4.2 eV$. Will this metal give photoelectric emission for incident radiation of wavelength $589 nm$?

asked Dec 23, 2013 by thanvigandhi_1

1 answer

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