Recently Active Calculus Questions

∫dx/(ax2+bx+c)2=? i heard sumthing called reduction formula.wat is it?do we need to know it? ...

*Image* dx is { where [.] denotes the greatest integer fnction} : (a) 1000 (b) 0 (c) 1/500 (d)none of these ...

*Image* ...

GIVEN A f:n "g" continous for every x→R such that g(1)=5 & ∫10 g(t)dt =2; if o∫1 (x-t)2 g(t) d(t) . find f'''(1) -f''(1) ??? f:n is function abbrevation ...

1) If f(x) is continous for allx belonging to R and range of f(x) is (2, √26) and g(x) = [ f(x) / a ] is continous for all x belonging to R (where [.] denotes the greatest integral function). Then the least posiitve integra ...

Problem 1) Let f(x) be a polynomial of degree one and f(x)be a function defined by f(x) = { g(x) ; for x ≤ 0 { and (1+x) / (2+x) 1/x ; for x >0 If f(x) is continous at x=0 and f(-1) = f ' (1), then g(x) is equals to :- ( ...

1. \int_{0}^{\pi /4}{ln(1+tant) dt} 2. \int (x.e^t^a^n^^^-^^^1^x)dx / (\sqrt{1+x^2}) ...

I am not a fan of these.. but these have been discussed a few times here.. once long back.. an year.. and once recently by eureka.. A couple of these for those who are interested... Try to integrate 1) \int_{0}^{\infty}\frac{ ...

Find the minimum odd value of a for this equation to hold true \int _{10}^{19}\frac {\sin x}{1+x^a}<\frac {1}{9} ...

This qsn was asked in 1 of our school exams...... Find limit as n→∞..... \frac{\sqrt{(n+1)}+\sqrt{(n+2)}+....\sqrt{2n}}{n\sqrt{n}} Applicaion of integral calculus gives ans as \frac{2}{3}(2\sqrt{2}+1) While if we solve by ...

Again from Askiitians.com (this problem was an oasis in the mind-numbingly boring queries there) Find all continuous functions f: R→R satisfying f[(x-y)2] = f2(x) - 2x f(y) + y2 ...

1) \int_{0}^{\infty}{e^{-x^2}}dx =?? 2) Given that \int_{0}^{\infty}{\frac {sinx}{x}}dx=\pi /2 find I=\int_{0}^{\infty}{\frac {sin^2x}{x^2}}dx I know these all are impossbole integrals..but just found the soln to them toaday ...

if y= f(x) is lik dis *Image* then is graph of siny=f(x)...is rit??? ...

1. \int_{e^-^1}^{e^2}{|lnx / x | } dx = ? 2. \int_{sinx}^{1}{t^2 f(t)dt }= ( 1 - sinx ) , then find f (1 / √3) = ? 3. \lim_{x \rightarrow infinity}1/\pi \sum_{r=1}^{n}{tan^-^1(1/2r ^2)} = ? ...

Let f:A1→B1, g : A2→B2, p:A3→B3 , and h : A4---->B4 are real valued functions.If the range of h(x)=g(f(p(x))) is a set y then y A. y\subseteq B1 B. y\subseteq B2 C. y\subseteq B3 D.can't say p.s - RTPF stands for Ran ...

\int _{0}^{1/2}\frac {dx}{\sqrt {1-x^{2n}}} where n≥1 ...

Why it is said that no of roots of x3=0 is 3 repeated roots... Then why sin(x)=1 has only one root in (0,pi) ...

For positive x and y, establish the following inequality x^y + y^x>1 . ...

0∫1 x (1-x)/(1+x) = ?? one method was to write f(1-x) n put x=2 sin2θ n solve.. ne other method ?? ...

limit n-n2{(n+1)(n+1/2)(n+1/22)...(n+1/2n)} n→∞ ...

f(x)=cos(tan x + cot x)cos(tan x - cot x) ...

xdy=y(dx+ydy) if y(1)=1 nd y(x)>0 then find y(-2) ...

This question was posted by Bhatt sir about more than a year back in another forum: Let f(x)=\sin(x^3) Determine all n for which the n-th derivative of f(x) is non-zero at x=0. ...

Compute the area between y2=x3/(2a-x) and its asymptote. ...

q no 1) let n>=2 be a fixed integer....... f(x) be a bounded function defined in f:(0,a)→R satisfying f(x)= \frac{1}{n^2}\sum_{r=0}^{(n-1)a}{f(x+\frac{r}{n})} then f(x)= a)-f(x) b)2f(x) c)f(2x) d)nf(x) ...

*Image* the answer is 4.......and note its AB=>0 if u r not able to see properly ...

*Image* ...

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find the no of roots of: sin2 πx= log x ...

For what real values of 'a' and 'b' all the maximum of the function f(x)= (5a2/3x3) + 2ax2 - 9x +b are positive and maximum is at point x0=-5/9?? ...