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Relations and Functions

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Integrate : $\int x^5 \sec^2 (7x^6+9) dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sqrt {\cos^{-1}(4x)}}{\sqrt {1-16x^2}}$ $dx$

asked Dec 23, 2013 by meena.p

1 answer

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

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin 2x }{a \cos ^2 x + b \sin ^2 x }$ $dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate: $\int \large\frac{x^3 \tan ^{-1} x^4 }{1+x^8}$ $dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \sec^4 x dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate: $\int \large\frac{dx}{x \sqrt {1-x^3}}$ $= a \log \bigg| \large\frac{\sqrt {1-x^3}-1}{\sqrt {1-x^3}+1}\bigg|$ find the value of a

asked Dec 23, 2013 by meena.p

1 answer

If $y(x) = \Large \int \limits_{\frac{\pi^2}{16}}^{\normalsize x^2} \large\frac{\cos x . \cos \sqrt \theta d\theta}{1+\sin^2 \sqrt \theta}$ , find $\;y'(\pi)$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {\tan x }+ \sqrt {\cot x }dx$

asked Dec 23, 2013 by meena.p

1 answer

Evaluate $\Large \int$ $\large \frac{\log x }{(1+\log x)^2}$ $dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\cos x - \sin x}$ $dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int \sqrt {(\sec x -1)}.dx$

asked Dec 23, 2013 by meena.p

1 answer

Integrate : $\int a^{\large a^{\Large a^{\Large a^{x}}}}.a^{\large a^{\Large a^{x}}}.a^{a^{x}}.a^{x}$ $.dx$

asked Dec 23, 2013 by meena.p

1 answer

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

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{x \log _e x \log ( \log _e x)}$ $dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin x}{\sin (x-\alpha)}$ $dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sin ^2 x \cos ^2 x}$ $dx$

asked Dec 21, 2013 by meena.p

1 answer

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

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\large\frac{1+ \cos 4x }{\cot x - \tan x }$ $dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos 2x - \cos 2 \alpha}{\cos x - \cos \alpha}$ $dx$

asked Dec 21, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^{\frac{\pi}{2}} \sin^{\frac{3}{4}} \cos ^3 x dx$

asked Dec 20, 2013 by meena.p

1 answer

Integrate : $\int \limits _0^8 \tan ^{-1} x.dx$

asked Dec 20, 2013 by meena.p

1 answer

$I=\int \limits_0^{\frac{\pi}{2}} \sin ^4 x \cos^2 x dx$ find the value of I

asked Dec 20, 2013 by meena.p

1 answer

$I= \int \sin ^3 x \sin 2x dx$ Find the value of I

asked Dec 20, 2013 by meena.p

1 answer

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

asked Dec 20, 2013 by meena.p

1 answer

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

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

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

1 answer

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 $f(x)=\left\{\small\begin{array}{1 1} \large\frac{(x^3+x^2-16x+20)}{(x-2)^2}&if\;x\neq 2\\K&if\;x=2\end{array}\right.$ . If $f(x)$ is continuous for all $x$ then $K$ =

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

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

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

asked Dec 19, 2013 by meena.p

1 answer

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