Recently Active Calculus Questions

y=sin(cos-1(tan(sec-1x))) find dy/dx ...

find ∫ x2 lnx/ 1-x2 dx lower limit =0 and upper limit = 1 ...

If for a continous function f,f(0)=f(1)=0 and f'(1)=2 and g(x)=f(e^x).e^(f(x)) then g'(0)=___ ...

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f(x)=x2+3x+p /2(x2-1),x≠1 and f(x)=5/4, x=1 , is continues at x=1 then the value of "p" is....?? ...

An open box with a square base is to be made out of a given cardboard of area c2 sq. units. Show that the max vol. of the box is c3/(6 3 ) cubic units. ...

Q In=0√3∫ 1/1+xn dx Find limit In n->∞ ...

Show that the right triangle of max area that can be inscribed in a circle is isosceles. ...

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Q1. find the limit lim(x→0) (1+x)1/x-e+(ex/2)/x2 Q2. Let the rth term tr of a series be given by tr = r/1+r2+r4 . Then find the value of lim(n→∞) Σtr (n=1 to n=n) Q3. If x is a real number in [0,1]. Then the value of l ...

solve the following : (1) find the period of |sin3 x/2| + |cos5 x/2| (2)if f:R->R and g:R->R be two one one and onto functions such that they are the mirror images of each other about the line y=a and h(x) = f(x) + g(x) ...

g(x) = ∫ cos4t dt , then g(x+π ) = ? { lower limit =0 upper limit= x} a. g(x) + g(π) b. g(x) - g(π) c.g(x) *g(π) d. g(x)/g(π) ...

integrate log(sin 2x) dx lower limit=0 upper limit=pi/2 ...

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How do we derive ∫f(x) g(x) dx = f(x) G(x) - ∫ f'(x)G(x)dx G(x) represents integral of g(x) wrt x and f'(x) represents differential of f(x) wrt x ...

\int \frac{dx}{(1+\sqrt{x})\sqrt{x-x^{2}}} is equal to ? please give a proper method along with your answer. ...

draw the graphs of: (1) [x] + √{x} (2) [|x|] + √{|x|} (3) |[x]| + √|{x}| (4) |[x]| + √{x} { }-------->fractional part ; | | ------------>modulus ; [ ] ------------>greatest integer function be careful with th ...

let f(x) be a real valued function defined for all x≥1, satisfying f(1) =1 and f'(x)=1/{x2 + (f(x))2} , then Lt f(x) : x->∞ (a)does not exist (b)exists and less than ∩/4 (c) exists and less than 1+∩/4 (d) exists an ...

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Find integer n for which \lim\frac{cos^2{x}-cosx-e^{x}cosx+e^{x}-x/2}{x^{n}} is a finite non zero number x→0 ...

*Image* also f(x) is differentiable at x=1 ,then f'(1)=?????????? ...

f is a real valued function satisfying *Image* ...

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if f(x+y)+f(x-y)=2f(x)f(y) for all x,y ε R and f(0)≠0 then prove that f(x) is an even function. ...

*Image* =? Edit:- denom is 1+sin2√θ ...

x=∩/2 is a point of ?????? whether local max. por local minimum considering n odd or even ...

lim x-infinity 1/n(tanpi/4n +tan2pi/4n+..........tan npi/4n) equals... is it '2pilog2'? ...

g(x) = ∫ cos4t dt , then g(x+π ) = ? { lower limit =0 upper limit= x} a. g(x) + g(π) b. g(x) - g(π) c.g(x) *g(π) d. g(x)/g(π) ...

lim x→0 sinxn/(sinx)m= ?? where m<n ...