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. ...

f(x)= sinx-cosx+√2/x1.5 for pi/4 ≤x≤ 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. ...

Consider a real valued function satisfying 2f(sin x)+f(cos x)=x. Find the domain and range of f(x). ...

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.. ...

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. ...

IF A=1/rt(2) + 1/rt(3) + ........... + 1/rt(10000).find [A] where [.] denotes greatest integer func nd rt stands for square root. ...

*Image* I've also posted it here http://www.artofproblemsolving.com/Forum/viewtopic.php?f=296&t=420023&p=2538522&#p2538522 but no solution ...

f(x)+f(x+ 1/2 )=1. then evaluate ∫01 f(x) ...

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,∩] where [.] denotes greatest integer function? ...

f and g are cont and diff functions from R→ R. If f(x+g(y))= 4x+3y+6. then g(2011+f(2011)) equals?? ...

Find \int x^xdx ...

\int (x^{3}-3x^{2}+2)^{2012}dx ...

\int_{-10}^{10}{xe^{x[x+\frac{1}{2}]} dx} Where [.] is Floor function. ...

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 ...

\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 $\left[-1, 2\right]$\\\\ ...

The value of *Image* ...

\mathbf{\int_{0}^{4}x.\ln\left(\frac{4-\sqrt{x}}{4+\sqrt{x}}\right)dx} ...

\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}$ ...

∫ dx/(sinx+cosx+tanx+secx+cosecx+cotx) ...

how do we integrate this one- √2∫sinx/sin(x-pi/4)dx ...

\int_{0}^{\propto }{\frac{sinx}{x}} ...

\hspace{-16}$Calculate $\mathbf{\int_{1}^{\infty}\left(\frac{\ln x}{x}\right)^{2011}dx=}$ ...

let f(x)= sin x g(x)=2x h(x)= cosx if φ(x)= [g o (fh)]x, then find φ||( pi/4 ) A) 4 B) 0 C) -4 D) 1/4 E) none ...

*Image* help please ...

Find the value of x for which rate of change of x4/4 + x3/3 - x is more than x4/4 ...

\mathbf{\int_{0}^{1}\frac{x^2+2}{(x^2+1)^3}dx}$ ...

*Image* ...

$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_ ...