Recently Active Calculus Questions

if f is continuous on R and n ε N then value of \int_{-3}^{3}{x^{2n}(f(x)+f(-x))dx} ans is Zero...........plz bataao kaise..ye to even function hai naa.... yaan main so raha hoon ...

some one tell wats ∫tan-1x ...

If f(x) is a quadratic expression in x and [6\int_{0}^{1}{f(x)dx}]-[f(0)+4f(\frac{1}{2})]=kf(1) then k=???????? I did it by assuming f(x)=ax2+bx+c..and got answer in 3 steps..... Is there any other quicker or elegant method t ...

Find Lim x----->0+ for the function f(x)= *Image* ...

Q) If y= cosx+ cosx+ cosx ...... Prove that (2y-1)dy/dx+sinx=0. ...

\int_{\pi}^{2\pi }{[2sinx]} where [] is gint... vaise solve karne par ans -5 pi/3 hai par graph se ans -2pi aa raha hai....... why the diff?????? i know i am commiting a blunder..but that will surely help me in future ...

A non zero polynomial with real coefficients has the property that f(x)=f'(x).f"(x). The leading coefficient of f(x) is? A.) 1/6 B.)1/9 C.)1/12 D.)1/18 ...

\int \sqrt{(x^4 + 1)/ (x^2 + 1) } ∂x ......................... (AKAND NE KAHA ISLYE) is this integrable????? IF YES, HOW?????? GIV DA FINAL ANS THEN........ ...

ey-x dy/dx =ex-ey ...

Q1. lim(x→2a) [ x-2a + x - 2a ]/[ x2 -4a2] Q2. lim(x→∞)2x( x2+1 - x) ...

0 to Î /2 1+2cosx (2+cosx)2 ...

∫ex(x3-x+1)dx/(x2+1)3/2 ...

1).Give the necessary and sufficient conditions so that limx-->0 f (g(x)) = f ( limx-->0 g(x)) 2).Let f(x) be a quadratic fn. with +ve integral coefficientssuch that for every real a,b b>a a ∫ b ...

PLZ SOLVE √2-(√1+cosx)/sin2x ...

integral from 0 to pi ( sinmx)2 (sinx)2 ...

∫dx/[(1+√x)√(x - x2)] ...

∫ sec4x. dx. ans= 2/3 tan3x ...

\int_{0}^{10}f(x)dx{} then\sum_{k=1}^{10}{\int f((k-1)+x)dx}=?? ...

∫dx/x(x^n+1) ...

Solve x(1-x^2{})dy+(2x^2{}y-y-5x^3{})dx=0 ...

\frac{x+y\frac{dy}{dx}}{y-x\frac{dy}{dx}}= x^2 + 2y^2 + \frac{y^{4}}{x^2} ...

∫tan-1(x)=????????????????????? ...

the function f(θ) = d/dθ∫0 θ dx/ (1-cos θcos x) satisfies wich diffrential equation ? ...

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draw the graph of [y]=x2+y ...

if f(x)=(|x|(3 e1/|x|+4))/(2- e1/|x|) for x≠0 nd f(0)=0 then a)f is continuous b)f is continuous but not diff at x=0 c)f'(0) exists d)f'(0+)=2 ...

o∫pi/2 dx/ 1-ksin2x yeh pleeeeeeeeeez koi banao .... kal poori saat nahi so payee theek se.. iske chalte... have bcome dumb in integration i think :( :( ...

let x be any real number, then, x2= x+x+x.....upto x terms differentiating both sides wrt x 2x= 1+1+1.......upto x terms or,2x=x or,2=1. find where is the mistake? forgive me if you think it is a stupid question.it was asked ...

for any differentiable function y=f(x) d2y/dx2 + (dy/dx)3(d2x/dy2) = ??????? kaise approach kare plz batayie ...

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