# Recently Active Calculus Questions

• Find the range of the following Q1: [sin2x]-[cos2x] .[.] is GINT functiion. Q2:sin-1[x2+0.5]+cos-1[x2-0.5] .[.] is GINT. ...
replied2011-12-18 04:09:24
• f(x)= sinx-cosx+âˆš2/x1.5 for pi/4 â‰¤xâ‰¤ 5pi/4 . if M is maximum value of f(x) and m is minimum value of f(x) , find [ 2M/5m ] , where [ ] is box function. ...
replied2011-12-18 02:42:02
• Consider a real valued function satisfying 2f(sin x)+f(cos x)=x. Find the domain and range of f(x). ...
replied2011-12-17 22:40:34
• There are exactly two linear functions,which map[-1,1] onto [0,3].Then find the point of their intersection. ...
• 1) Find the number of solutions of 2|x|=sinx2. 2) Find the area enclosed by: | x+y-1| + |2x+y+1|= 1 3) Find the number of solutions of tan4x=cosx when x lies between (0 to pie).. PLEASE Provide the graph with the solution.. ...
replied2011-12-16 06:22:51
• Find the domain Q:1 x12-x9+x4-x+1 Q:2 Cx2+4x2x2+3 .Here n= x2+4x and r=2x2+3. C stands for combination Q:3 x-1/x-2{x} {.} denotes fractional part function. ...
replied2011-12-16 02:46:01
• IF A=1/rt(2) + 1/rt(3) + ........... + 1/rt(10000).find [A] where [.] denotes greatest integer func nd rt stands for square root. ...
replied2011-12-16 02:44:58
• *Image* I've also posted it here http://www.artofproblemsolving.com/Forum/viewtopic.php?f=296&t=420023&p=2538522&#p2538522 but no solution ...
replied2011-12-14 04:29:24
• f(x)+f(x+ 1/2 )=1. then evaluate âˆ«01 f(x) ...
replied2011-12-13 05:56:40
• What is Range of f(x)=[1+sinx] + [2+ sin(x/2)] + [3+sin(x/3)]+........... + [n+ sin(x/n)] for all x belongs to [0,âˆ©] where [.] denotes greatest integer function? ...
replied2011-12-10 05:28:17
• f and g are cont and diff functions from Râ†’ R. If f(x+g(y))= 4x+3y+6. then g(2011+f(2011)) equals?? ...
replied2011-12-08 22:00:37
• Find \int x^xdx ...
replied2011-12-07 06:44:22
• \int (x^{3}-3x^{2}+2)^{2012}dx ...
replied2011-12-02 22:39:15
• \int_{-10}^{10}{xe^{x[x+\frac{1}{2}]} dx} Where [.] is Floor function. ...
replied2011-12-02 08:40:06
• If z=log(tan\frac{x}{2}) and \frac{d^2y}{dx^2}+cotx\frac{dy}{dx}+4ycosec^{2}x =0 then show that \frac{d^2y}{dx^2}+4y=0 ...
• \hspace{-16}\int\frac{1+\sin x}{x\cos x}dx ...
replied2011-11-27 23:32:13
• \hspace{-16}$Find all$a > 0,\;$for which the equation\\\\$a^{2x}- 4(x+1).a^x + 3x^2 + 10x + 3 = 0$has$2$real roots\\\\ in the interval$\left[-1, 2\right]$\\\\ ... replied2011-11-23 10:23:04 • The value of *Image* ... replied2011-11-21 00:02:08 • \mathbf{\int_{0}^{4}x.\ln\left(\frac{4-\sqrt{x}}{4+\sqrt{x}}\right)dx} ... replied2011-11-20 07:43:29 • \hspace{-16}\mathbf{(1)\;\; \int\frac{1}{1+\sqrt{x^2+2x+2}}dx}\\\\\\ \mathbf{(2)\int_{1}^2\frac{x^2-1}{(x^2-x+1).(x^2-3x+1)}dx}$ ...
replied2011-11-18 22:01:49
• âˆ« dx/(sinx+cosx+tanx+secx+cosecx+cotx) ...
replied2011-11-17 07:26:40
• how do we integrate this one- âˆš2âˆ«sinx/sin(x-pi/4)dx ...
replied2011-11-17 03:02:20
• \int_{0}^{\propto }{\frac{sinx}{x}} ...
replied2011-11-16 08:44:03
• \hspace{-16}$Calculate$\mathbf{\int_{1}^{\infty}\left(\frac{\ln x}{x}\right)^{2011}dx=}$... replied2011-11-15 10:48:45 • let f(x)= sin x g(x)=2x h(x)= cosx if Ï†(x)= [g o (fh)]x, then find Ï†||( pi/4 ) A) 4 B) 0 C) -4 D) 1/4 E) none ... replied2011-11-11 14:01:44 • *Image* help please ... replied2011-11-09 21:41:36 • Find the value of x for which rate of change of x4/4 + x3/3 - x is more than x4/4 ... replied2011-11-09 20:09:05 • \mathbf{\int_{0}^{1}\frac{x^2+2}{(x^2+1)^3}dx}$ ...
replied2011-11-08 01:24:39
• *Image* ...
replied2011-11-07 22:31:16
• $Prove that the Sum of Given Integral is a Rational no.\\\\$\mathbf{\int\limits_{-100}^{-10}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx+\int\limits_{\frac1{101}}^{\frac1{11}}\left(\dfrac{x^2-x}{x^3-3x+1}\right)^2dx+\int\limits_ ...