Recent questions tagged easy

Integrate : $\int e^x \bigg(\large\frac{2+\sin 2x}{1+ \cos 2x}\bigg)$$dx$

asked Dec 24, 2013 by meena.p

1 answer

Integrate : $ \int e^x [\cot x + \log \sin x]dx$

asked Dec 24, 2013 by meena.p

1 answer

If $f(5)=15,f'(5)=3$ then $\lim\limits_{x\to 5}\large\frac{xf(5)-5f'(x)}{x-5}$ is

asked Dec 24, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to a}\large\frac{\log(x-a)}{\log(e^x-e^a)}$ is

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

$\lim\limits_{x\to\Large\frac{\pi}{6}}\large\frac{3\sin x-\sqrt 3\cos x}{6x-\pi}$ equals

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 24, 2013 by balaji.thirumalai

1 answer

$\lim\limits_{x\to 0}\large\frac{\cos(\sin x)-1}{x^2}$=

asked Dec 24, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to \infty}\big(\large\frac{x+a}{x+b}\big)^{x+b}$=

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

If $f(x)=\left\{\begin{array}{1 1}\large\frac{\sin[x]}{[x]}&[x]\neq 0\\0&[x]=0\end{array}\right.$ then

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

$f(x)=\large\frac{\log(1+ax)-\log(1-bx)}{x}$ is not defined at $x=0$ .The value which should be assigned to f at $x=0$.So that it is continuous at $x=0$ is

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

If $\lim\limits_{x\to 0}\large\frac{\sin px}{\tan 3x}$$=4$ then value of p is

asked Dec 24, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to \infty}\large\frac{(2x-3)(3x-4)}{(4x-5)(5x-6)}$=

asked Dec 24, 2013 by sreemathi.v

1 answer

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

1 answer

$\lim\limits_{x\to \large\frac{\pi}{4}}\large\frac{\sqrt 2\cos x-1}{\cot x-1}$=

asked Dec 24, 2013 by sreemathi.v

1 answer

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

$\lim\limits_{x\to 0}\large\frac{(1-\cos 2x)\sin 5x}{x^2\sin 3x}$=

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 24, 2013 by meena.p

1 answer

$\lim\limits_{x\to 0}\large\frac{\sin x-x}{x^3}$=

asked Dec 24, 2013 by sreemathi.v

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

$\lim\limits_{x\to \large\frac{\pi}{4}}\large\frac{\sqrt 2\cos x-1}{\cos x-1}$=

asked Dec 24, 2013 by sreemathi.v

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

$\lim\limits_{x\to 0}(1+ax)^{\Large\frac{b}{x}}$=

asked Dec 24, 2013 by sreemathi.v

1 answer

$\lim\limits_{x\to 1}\bigg[\large\frac{x^3+2x^2+x+1}{x^2+2x+3}\bigg]^{\Large\frac{1-\cos(x-1)}{(x-1)^2}}$

asked Dec 24, 2013 by sreemathi.v

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

$\lim\limits_{x\to 2}\large\frac{2^x+2^{3-x}-6}{\sqrt{2^{-x}-2^{1-x}}}$ is

asked Dec 24, 2013 by sreemathi.v

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

If $f(x)=(x+1)^{\cot x}$ is continuous at $x=0$ then $f(0)$ is

asked Dec 24, 2013 by sreemathi.v

2 answers

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

asked Dec 24, 2013 by meena.p

1 answer

Value of $\lim_{x\to 2^-}\{x+(x-[x]^2)\}$ is

asked Dec 24, 2013 by sreemathi.v

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

$\lim\limits_{n\to\infty}\large\frac{n^p\sin^2(n!)}{n+1}$$\qquad0 < p < 1$ is equal to

asked Dec 24, 2013 by sreemathi.v

1 answer

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

asked Dec 23, 2013 by meena.p

0 answers

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

Ask Questions, Get Answers