Recent questions tagged class12

$I= \int \limits_0^1 \int x^5 (1-x^2)^{\frac{3}{2}}dx$ Find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$\lim\limits_{n\to\infty}\large\frac{1^p+2^p+3^p+.....+n^p}{n^{p+1}}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Radii of two spheres forming a spherical condenser are 0.3 and 0.4m. If dielectric constant of medium is 4 and medium is completely filled in between, find the capacity of the condenser..

asked Dec 20, 2013 by balaji.thirumalai

1 answer

$I= \int \limits_0^{\frac{\pi}{6}} \cos ^5 3 \theta . \sin ^3 6 \theta d \theta$ Find the value of I.

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \limits _0^{\frac{\pi}{4}} \large\frac{\sin 5 x}{\cos 7x}$$dx$

asked Dec 20, 2013 by meena.p

1 answer

$\lim\limits_{x\to 0}\large\frac{\sqrt{1-\cos 2x}}{\sqrt{2x}}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Integrate :$\int \limits_0^{\frac{\pi}{4}}$$ \large\frac{\sin ^3 x}{\cos ^7 x}$$dx$

asked Dec 20, 2013 by meena.p

1 answer

If three equal charges are placed on three corners of square and force between $q_1$ and $q_2$ is $F_2$, and the force between $q_1$ and $q_2$ is $F_3$, find $F_3/F_2$

asked Dec 20, 2013 by balaji.thirumalai

1 answer

If $(x)$ is differentiable and strictly increasing function then the value of $\lim\limits_{x\to 0}\large\frac{f(x^2)-f(x)}{f(x)-f(0)}$ is

asked Dec 20, 2013 by sreemathi.v

1 answer

Let $f:R\rightarrow R$ be a function defined by $f(x)=max(x,x^3)$.The set of all points where $f(x)$ is not differentiable

asked Dec 20, 2013 by sreemathi.v

1 answer

$ I= \int \limits_0^{\frac{\pi}{2}} \cos ^3 x dx$

asked Dec 20, 2013 by meena.p

1 answer

There exist a function $f(x)$ satisfying $f(0)=1$, $f'(0)=-1$, $f(x) > 0$ for all $x$

asked Dec 20, 2013 by sreemathi.v

1 answer

$I= \int \limits_0^{\frac{\pi}{2}} \sin ^2 x dx $ find the value of I

asked Dec 20, 2013 by meena.p

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Find the value of $ \int \limits _0^{\infty} \large\frac{\tan^{-1} (ax)}{x(1+x^2)}$$dx$

asked Dec 20, 2013 by meena.p

0 answers

Let $f(x)=x|x|$. The set of points where $f(x)$ is twice differentiable is

asked Dec 20, 2013 by sreemathi.v

1 answer

Find value of $\int \limits_0^1 \large\frac{x^{\alpha}-1}{\log x}$$dx \qquad \alpha \geq 0$

asked Dec 20, 2013 by meena.p

1 answer

A discontinuous function $y=f(x)$ satisfying $x^2+y^2=4$ is given by $f(x)$=_________

asked Dec 20, 2013 by sreemathi.v

1 answer

Let $f(x)=\left\{\small\begin{array}{1 1}(x-1)^2\sin\large\frac{1}{(x-1)}-\normalsize |x|&ifx\neq 1\\-1&if\;x=1\end{array}\right.$ be a real valued function. Then the set of points where $f(x)$ is not differentiable is

asked Dec 20, 2013 by sreemathi.v

1 answer

Integrate : $\int (x+1)^2$

asked Dec 20, 2013 by meena.p

0 answers

Integrate : $\int \cos (4x+5) dx$

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int a ^{\log ax}. \sin b dx $

asked Dec 20, 2013 by meena.p

1 answer

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

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan ^{-1} (e^x)}{1+(e^x)^2}.e^x\;dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $ \int e^{ \log a }. x^e. dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan^{-1} x}{1+x^2}$$ dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{(4 \cos ^3 x -3 \cos x)^2}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3 \tan ^2 [1+\log(x^2)]}{x}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Consider following reaction: $Mg(s)+2HCl(aq)\rightarrow H_2(g)+MgCl_2(aq)$.The rate of this reaction increases when more magnesium is added.This change is due to

asked Dec 19, 2013 by sreemathi.v

1 answer

Integrate : $\int \large\frac{e^x + \cos x }{e^x+ \sin x} $$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sec^2 x }{\sqrt {\tan x} }$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Consider the reaction $2H_2O_2(aq)\rightarrow 2H_2O(l)+O_2(g)$ wen 1g of KI is added to $H_2O_2$,bubbles of $O_2$ are produced at an increased rate.When reaction is complete,mass of KI is 1g.The KI is a

asked Dec 19, 2013 by sreemathi.v

1 answer

Integrate : $\int \large\frac{3x+1}{(3x^2+2x+1)^2}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

For reaction $X+Y\rightarrow Z$ the reaction rate is found to depend only upon concentration of X. A plot of $\large\frac{1}{[X]}$ vs time gives a straight line. What is rate law for this reaction?

asked Dec 19, 2013 by sreemathi.v

1 answer

Integrate : $\int \large \frac{e^{\Large a \sin ^{-1} x}}{\sqrt {1-x^2}}$$.dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \sqrt x e^{\large (x)^{3/2}} \cos (e^{\large(x)^{3/2}}. dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \sin 4x \cos 4x\;dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\large\frac{(1+ \log x)^4}{x}$$dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\tan^2 (\sqrt x)}{\sqrt x}$$.dx$

asked Dec 19, 2013 by meena.p

1 answer

Which of following is incorrect?

asked Dec 19, 2013 by sreemathi.v

1 answer

Integrate: $ \int \sqrt {x^2+4x+4}.dx$

asked Dec 19, 2013 by meena.p

1 answer

Which of following statements is incorrect for a first order reaction, where $T_x$ is the time taken for the reactant to drop by that % number.

asked Dec 19, 2013 by sreemathi.v

1 answer

Integrate: $\int \large\frac{e^{-\tan ^{-1}(a^x)}}{[1+(a^x)^2]}$$a^x.dx$

asked Dec 19, 2013 by meena.p

1 answer

What is the relation between half life ($t_{1/2}$) and temperature for an $n^{th}$ order reaction ;$n > 2$

asked Dec 19, 2013 by sreemathi.v

1 answer

The rate law for decomposition of $N_2O_5: N_2O_5\rightarrow 2NO_2+\large\frac{1}{2}$$O_2$ is consistent with observed rate law.If $k'=5\times 10^{-4}s^{-1}$ the time required for $[N_2O_5]$ be reduced to 10% of its original value.

asked Dec 19, 2013 by sreemathi.v

1 answer

For thermal decomposition of ozone to oxygen:Step (i):$O_3\;\;\;\overset{\overset{k_1}{\rightleftharpoons}}{k_{-1}}\;\;\; O_2+O$.Step (ii):$O_3+O\;\;\;\underrightarrow{k_2}\;\;\;2O_2$ then rate will be $\{k_{-1}[O_2] > > k_2[O_3]\}$

asked Dec 19, 2013 by sreemathi.v

1 answer

The ratio of $\large\frac{t_{1/2}}{t_{3/4}}$ for $n^{th}$ order is

asked Dec 19, 2013 by sreemathi.v

1 answer

integrate : $\int \sec^3 x dx$

asked Dec 19, 2013 by meena.p

1 answer

The inactivation of a viral preparation is found to be first order reaction.If in beginning $1.5\%$ of virus is inactivated then calculate time required for 50V inactivation.

asked Dec 19, 2013 by sreemathi.v

1 answer

Integrate : $ \int \sin ^3 x .dx$

asked Dec 19, 2013 by meena.p

1 answer

Integrate :$\int \sqrt {4x-x^2}dx$

asked Dec 19, 2013 by meena.p

1 answer

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