Recently Active Calculus Questions

A point on the hypotenuse of a right triangle is at a distance ‘a’ and ‘b’ from the sides of the triangle.The minimum length of the hypotenuse is........................ ...

∫x2/xsinx+cosx ...

∫ 1 /( 3 + 2 SIN x + 3 COS2 x + SEC 2 x) dx ...

solve fr x and y xy=2x-y solve for x and y. x and y are integers ...

It is given that : f(x+2)-5f(x+1)+6f(x)=0 Find f(x) ?????????????? ...

*Image* ...

If y(x)= *Image* then the value of dy/dx at x=Î is ...

Integrate 2[x] between 3 - 6 there why do we have split the range ??? Why do we not do this for other functions in general.. like sinx or cosx or any other function? When do we split the range... anyone with a ...

if primitive of t2dt from 0 to any f(x) is xcosx, then find f'(9)!!!!!!!!! ...

let n>=2 be a fixed integers. f(x) be a bounded function definned in f:(0,a)->R satisfying f(x)=1/n2r=0 Σ(n-1)a f((x+r)/n) ... then f(x) = a) -f(x) b) 2f(x) c) f(2x) d) nf(x) ...

Find primitive of 3x4-1/(x4+x+1)2 wrt x!!!!!!!!! ...

*Image* where [.] denotes the greatest integer function. ...

Let ƒ and g be real valued functions defined on interval (–1, 1) such that g′′(x) is continuous, g(0) ≠0, g′(0) = 0, g′′(0) ≠0, and ƒ(x) = g(x) sin x. STATEMENT - 1 lim x→0 [g(x) cot x – g(0) cos ...

Suppose f,f' and f" are continuous functions is [0,e] and that f'(e)=f(e)=f(1)=1 and the intergral of f(x)/x2 from o to e is 1/2, then the value of the integral f"(x)lnxdx from o to e is??& ...

find the primitive of dx/(1+x3+√{1+x6}) with the limits extending from -1 to +1!!!!!!!!!! ...

Evaluate lim [x 2 / sin2x. cos x ] , where [ ]denotes the greatest integer functin x→0 ...

0 ∫ (logx)/(x2+a2) dx ∞ a>0 ...

let f(x/2+y/2)=f(x)/2+f(y)/2 , x,y belongs to real no. f ' (0) exists and is equal to -1 and f(0)=1 , then find the value of f(2) ...

Find the domain of *Image* where [.] denotes the greatest integer function. ...

*Image* ...

f(x)= { 3[x] -5(|x|/x) , x≠0 { 2, x=0 [.]=box function. -3/2∫2 f(x) dx. = ???? i got -13/2... ans is -11/2... ...

lim x->pi/2 [x/2]/log(sinx) = ???????? ...

*Image* ...

*Image* ...

We can differentiate any function but we can't integrate many functions. Why?????? ...

*Image* ...

find min. value of ax2(sin x)2/(xsin x) x belongs (0,pie) ...

solve the differential equations Q 1... x(x-y) dy + y2 dx= 0 Q2 ... (x dx + y dy)/(x dy - y dx)= √(a2-x2-y2)/(x2+y2) ...

solve the differential equation x dx + y dy + (x2+y2) dy = 0 ...

f(x)= ax + cosx is bijective then a belongs to? a) R+ b) R c) R- d) R-(-1,1) ...