# Recently Active Calculus Questions

• value of f(0), so that its function f(x)=( 1+2x - 1+2x )/x is continues is a)1/3 b)3 c)-1/3 d)0 ...
replied2012-06-23 15:04:38
• If f(x)=[x2]-[x]2 and x lies between [0,2] then the range of f(x) is: (a){-1,0} (b){-1,0,1} (c){0} (d){0,1,2} ...
replied2012-06-23 15:01:24
• sin ax+cos ax and |sin x|+|cos x| are periodic functions of same fundamental period then a is: (a)0 (b)1 (c)2 (d)4 ...
replied2012-06-23 14:54:38
• \ cos4xcos7x =\ 1/2(cos3x+cos11)dx where'\' is sign of integration. is there any formulae regarding to it... ...
replied2012-06-14 23:26:40
• IF y=x+x2/2+x3/3+x4/4+....... THEN PROVE THAT x=y-y2/2!+y3/3!+y4/4!+....... ...
replied2012-06-14 23:24:46
• \hspace{-16}\mathbb{I}$f$\bf{n=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+........+\frac{1}{2012}}}$. Then$\bf{\lfloor n \rfloor}$is \\\\\\ Where$\bf{\lfloor x \rfloor = }$Floor Sum. ... replied2012-06-14 23:12:40 • 1) âˆ«âˆšsecx ... replied2012-06-14 22:43:11 • If f(x)= cos nx sin 5x/n is periodic with peiod 3Ï€ then find the sum of integral values of n. ... asked2012-06-14 13:17:13 • \hspace{-16}$If $\bf{f(x+1)=(-1)^{x+1}.x-2f(x)\forall x\in \mathbb{N}}$ and $\bf{f(1)=f(1986)}$\\\\ Then Sum of Digit of the no. $\bf{f(1)+f(2)+f(3)+.....+f(1985)}$ ...
replied2012-06-14 09:49:17
• âˆ‚n/âˆ‚xn(log x) is: (a)(n-1)!/xn (a)(n)!/xn (a)(n-2)!/xn (a)(-1)(n-1)(n-1)!/xn ...
replied2012-06-14 07:54:39
• In many books a shortcut trick for checking differnetiabiltiy of a fuction is given by first differentiate LHS and RhS and check if both the slope are coming same, provided the function is continous. However in many question ...
replied2012-06-12 23:11:46
• 1. âˆ«tan7 x/2 sec2 x/2 dx 2.âˆ« x + 2/(1 + x )2 dx Plz Help ...
replied2012-06-12 22:57:00
• \hspace{-16}\bf{\int\tan^{2}(x).\sin^{-1}(\tan x-x)dx} ...
replied2012-06-07 07:17:29
• if f(x - 1) + f(x + 1) = âˆš3 f(x) then prove that f(x) is periodic with period 12` ...
replied2012-06-06 18:03:03
• Please integrate âˆ«(x^2 + 1)/(x^4+x^2+1) dx ...
replied2012-06-03 11:01:49
• my question is in solving a equation say f(x)=g(x) graphically if it happens that I am confused that whether the graph of f(x) really intersects a point or not ...how to get rid of that confusion?? ...
replied2012-05-28 08:55:58
• Show that infinete series Î£ sin( 1/k ) is div? ...
replied2012-05-27 20:02:31
• *Image* ...
• \hspace{-16}\bf{\mathbb{F}}$ind a function$\bf{f:\mathbb{R}\rightarrow \mathbb{R}}$that satisfy\\\\\\$\bf{2f(x)+f(-x)=\left\{\begin{matrix} \bf{-x^3-3}\;\;\;,\;x\leq 1\\\\ \bf{7-x^3}\;\;\;,\;x> 1 \end{matrix}\right.}$... replied2012-05-23 07:23:09 • What will be the graph of (Sinx)/x ? ... replied2012-05-23 01:27:14 • What will be the graph of (Sinx)/x ? ... asked2012-05-22 01:41:39 • \hspace{-16}\bf{\mathbb{S}}$olve for $\bf{x}$\\\\ $\bf{(1)\;\; \lfloor 1.5 \rfloor x+\lfloor x \rfloor=5}$\\\\ $\bf{(2)\;\; \lfloor x \rfloor+\lfloor 2x \rfloor \leq \sqrt{3}}$ ...
• \hspace{-16}\bf{\left\lfloor \dfrac{10^{20000}}{3+10^{100}}\right\rfloor=}$\\\\\\ Where$\bf{\lfloor x \rfloor =}$Floor Function. ... replied2012-05-21 00:45:14 • *Image* ... asked2012-05-20 04:36:27 • 1. INTEGRATE A)âˆ«dx/x22(x7-6) B)âˆ«dx/(x+3)8/7(x-2)6/7 C) âˆ«(lnx-1)/((lnx)2-1)dx ... replied2012-05-16 03:11:28 • \hspace{-16}$If $\bf{\mathbb{I}=\int_{0}^{\pi}\frac{\sin(884\;x).\sin(1122\;x)}{\sin (x)}dx}$ and $\bf{\mathbb{J}=\int_{0}^{1}\frac{x^{238}.(x^{1768}-1)}{(x^2-1)}dx}$\\\\\\ Then value of $\bf{\frac{\mathbb{I}}{\mathbb{J}}=}$ ...