# Recently Active Calculus Questions

• 41. The value of âˆ« {x .tanx . secx }/(tanx-x)2 In the answer key answer is given as A...whereas i think it should be B???????????? ...
replied2013-08-16 04:06:17
• Here is an interesting one x+x+x+x.......x times..=x2 diff. both sides w.r.t x 1+1+1..x times=2x x=2x 1=2 ...
replied2013-08-10 01:56:26
• differential coefficient of sin-1(3x-4x3) w.r.t. sin-1x is : a) 3 if -1 â‰¤ x â‰¤ 1 b) -3 if -1 â‰¤ x < -0.5 c) 3 if -0.5 < x < 0.5 d) -3 if -0.5 < x â‰¤ 1 ...
replied2013-08-10 00:12:32
• 1. âˆ« (cos 5x +cos 4x) / (1- 2 cos 3x ) dx 2. âˆ« ( cos3 x ) . x. elog(sin x) .dx 3. âˆ« ( x + ( x 2 ) + 2. x1/6 ) / [ x. { 1+ x } ] ...
replied2013-08-08 00:55:57
• The equation of a curve is y = f(x). The tangents at (1, f(1)), (2, f(2)) and (3, f(3)) make angles Ï€/6 , Ï€/3 and Ï€/4 respectively with the positive direction of the x-axis. Then the value of 23âˆ«f'(x).f"(x).dx +13âˆ«f"(x ...
replied2013-08-06 07:03:40
• Can anyone plz explain the use of complex numbers ( de-moivre's theorem) in finding out the integral of type âˆ«sinmxcosnxdx , where both m,n are positive integers. ...
replied2013-08-03 09:05:56
• âˆ« x.tan x . dx ...
replied2013-08-01 06:33:38
• Â± ...
• \hspace{-16}\bf{(1)\;\;\int \left(\frac{x^2-1}{x^2+1}\right).\frac{1}{\sqrt{x^4+1}}dx}$\\\\\\$\bf{(2)\;\;\int \left(\frac{x^2+1}{x^2-1}\right).\frac{1}{\sqrt{x^4+1}}dx}$\\\\\\$\bf{(3)\;\;\int \frac{\sqrt{x^4+1}}{x^4-1}dx}$\ ... replied2013-07-25 04:40:40 • lim:tâ†’x ( sinx-sint/x-t ) = f (sinx) Find range of f(x) (A) (-âˆž,1] (B) [-1,0] (C) [0,1] (D) [-1,âˆž) ... replied2013-07-22 10:24:05 • âˆ« ln(x-1)/x ? ... replied2013-07-20 19:28:44 • this thread is only for integration sums............ AND YA FORGOT TO TELL ALL TARGETIT USERS, I HAVE COPIED ALL THESE SUMS. SO KISIKO GAALI DENA HAIN YA KUCH KEHNA HAIN, PLEASE VISIT http://targetiit.com/profile711.html AND ... replied2013-07-20 00:30:14 • A balloon in the form of a right circular cone is surmounted by a hemisphere, having a diameter equal to the height of the cone., is being inflated. how fast is its volume changing with respect to its total height h, when h=9 ... replied2013-07-15 03:14:36 • What is the condition that the equation ax2+bx+c has a root in [0, 1]? In class, we integrated the given expression and arrived at the condition a/3 + b/2 +c=0. However, if we take the equation (x-2)(x-0.5)=0 ie x2- 5/2 x+1=0 ... replied2013-07-02 19:21:38 • \hspace{-16}$(i) $\bf{\int\frac{1}{1+\sin^4 x}dx}$\\\\\\ (ii) $\bf{\int\frac{1}{1+\cos^4 x}dx}$ ...
replied2013-07-02 06:44:11
• Please use the shortest method possible and show the working âˆ« 2 sin x + 3cosx/3sin x+4 cos x ...
replied2013-07-01 11:42:11
• Let f:R-->R be a continuous function such that f(x)-2f( x/2 )+f( x/4 ) = x2. f(3) is equal to (A) f(0) (B) 4+f(0) (C) 9+f(0) (D) 16+f(0). The equation f(x)-x-f(0) = 0 has exactly (A) No solution (B) One solution (C) Two so ...
replied2013-07-01 07:28:39
• \hspace{-16}\bf{\int_{0}^{1}x^{2013}.(1-x)^{2014}dx} ...
• \hspace{-16}$How can I calculate Cont. and Diff. of$\bf{f(x) = \lim_{n\rightarrow \infty}\bold{\sqrt[2n]{\bold{\sin^{2n}x+\cos^{2n}x}}}}$... replied2013-06-25 22:13:12 • Equation of the line through the point ( 1/2 ,2) and tangent to the parabola y = - x2/2 + 2 and secant to the curve y = 4 - x2 is (A) 2x + 2y - 5 = 0 (B) 2x + 2y - 3 = 0 (C) y-2 = 0 (D) None of these ... replied2013-06-25 04:54:11 • Two curves C1 : y = x2 - 3 and C2 : y = kx2, k Îµ R intersect each other at two different points. The tangent drawn to C2 at one of the points of intersection A(a,y1), (a>0) meets C1 again at B (1, y2) (y1 â‰ y2). The valu ... replied2013-06-22 04:20:24 • Advanced 2 Q . 57 part (p) lim(xâ†’0) âˆš(2-2cosx)/2x = ? ... replied2013-06-21 10:55:06 • Given:- k = lim (xâ†’ âˆž) [ Î£(k=1 to k=1000){ x + k} m ] / [ x m + 10 1000 ] where m > 101. ... replied2013-06-19 11:38:28 • Among various properties of continuous, we have Æ’ is continuous function on [a,b] and Æ’(a)Æ’(b) < 0, then there exists a point c in (a,b) such that Æ’(x) = 0 equivalently if Æ’ is continuous on [a,b] and x Îµ R is such t ... replied2013-06-18 01:03:18 • lim (x-> 0) [f(x)+log {1-(1/ef (x))}-log (f(x))]=0. Find f (0). ... replied2013-06-14 00:17:43 • We are told that the height h, in metres, of a certain projectile as a function of time t, in seconds, is h = 20t*4.9t 2 .Find the domain and range for the function h(t). ... replied2013-06-01 06:44:47 • \hspace{-16}$Calculate total no. of real solution in each case\\\\\\ $\bf{(1)\;\;2^x = 1+x^2}$\\\\\\ $\bf{(2)\;\; 2^x+3^x+4^x = x^2}$\\\\\\ $\bf{(3)\;\; 3^x+4^x+5^x = 1+x^2}$ ...
• \hspace{-16}$Calculate total no. of real solution in$\bf{e ^x = x^n}$\\\\ where$\bf{n\in \mathbb{N}}$... replied2013-05-29 00:16:52 • \hspace{-16}$Calculate total no. of real solution in each case\\\\\\ $\bf{(1)\;\;2^x = 1+x^2}$\\\\\\ $\bf{(2)\;\; 2^x+3^x+4^x = x^2}$\\\\\\ $\bf{(3)\;\; 3^x+4^x+5^x = 1+x^2}$ ...