Recently Active Calculus Questions

• Let the range of the function f: Râ†’ R f(x) = | x-1| + |x - a| + | x| + |x+1| + |x+ 2a - 21 | a being a real parameter given by [Î±,âˆž).Then find the no. of integral values of a for which there is exactly one x0Îµ R such th ...
• i,j positive integers f(i,i+1)=1/3(for all i) f(i,j)=f(i,k)+f(k,j)-2f(i,k)(k,j) Find the value of f(1,100) ...
replied2013-02-02 07:36:23
• limxâ†’0+ (sin x)sin x = ? ...
replied2013-02-01 01:35:18
• âˆ« Sinx/x =?? ...
replied2013-01-22 08:50:25
• \hspace{-16}\bf{(1)\;\; \int\frac{x^2-1}{(x^2+1)\sqrt{1+x^4}}dx}$\\\\\\$\bf{(2)\;\;\int\frac{x^2}{(x^4-1)\sqrt{x^4+1}}dx}$\\\\\\$\bf{(3)\;\;\int\frac{x-1}{(x+1)\sqrt{x^3+x+1}}dx}$... replied2012-10-18 05:54:46 • \hspace{-16}\bf{\int_{0}^{\frac{\pi}{2}}\frac{\sin(2nx).\sin x}{\cos x}dx\;\;, }$ Where $\bf{n\in \mathbb{N}}$ ...
• *Image* hw 2 proceed i tried 2 ways 1) took âˆšx=cos2Ï†... and am stuck at -2tanÏ†sin4Ï†dÏ† ... 2nd way i tried *Image* and stuck after seperatingthe terms and integrating ...
replied2012-09-29 08:38:34
• *Image* *Image* ...
replied2012-09-17 11:05:27
• mathop {lim }limits_{x o infty } {left[ {1 + frac{1}{{mx}}} ight]^x} equal to ...
• mathop {lim }limits_{x o 0} left( {frac{{{e^x} - 1}}{x}} ight) = ...
• int {frac{{a{x^3} + b{x^2} + c}}{{{x^4}}}} dx equals to ...
• âˆ« x+ x2+1 dx HOW TO INTEGRATE?? ...
replied2012-08-25 08:40:14
• int_0^{1.5} {[{x^2}]dx} , where [.] denotes the greatest integer function, equals ...
• Let a, b, c bc non-zero real numbers such that int_{,0}^{,3} {} (3,a{x^2} + 2,bx + c),,dx = int_{,1}^{,3} {} (3,a{x^2} + 2,bx + c),,dx, then ...
• int {frac{{d heta }}{{sin heta ,.,{{cos }^3} heta }}}Â = ...
• mathop {lim }limits_{x o 0} frac{{{x^2} - 2x}}{{2sin x}} equals ...
• int {{a^x}da = } ...
• âˆ«log(x+1) 1/x dx. from 0 to 1. ...
replied2012-08-06 03:18:40
• integration of x^2/(a+bx)^2. ...
replied2012-08-03 17:34:53
replied2012-08-03 08:59:11
• int{cos 2x.sin 4xdx} equals ...
• int {frac{{dx}}{{sin x + sin 2x}}}Â = ...
• int {frac{{dx}}{{{{(x - 1)}^2}(x - 2)}}}Â = ...
• \hspace{-16}$If$\bf{f:\mathbb{Z}\rightarrow \mathbb{Z}}$and$\bf{m + f\big(m + f(n + f(m))\big) = n + f(m)}$\\\\ and$\bf{f(6)=6}$.\;Then$\bf{f(2012)=}$... replied2012-07-15 03:23:11 • \hspace{-16}$If $\bf{f:(0,\infty)\rightarrow (1,\infty)}$ and $\bf{f(x)=x^4+x^2+x+1}$. Then $\bf{\frac{d}{dx}\left\{f^{-1}(4)\right\}=}$ ...