Recently Active Calculus Questions

1 Prove that ∫ (1+x)(1+x3) dt cant exceed 0 15/8 ...

x If f(x) is continuous function with ∫ f(t)dt →∞ as mod(x)→∞ then 0 show that every line y=mx intersects curve x y2+∫ f(t)dt =2 0 ...

Find all the values of parameters a(a≥1) for which the areaa of figure bounded by pair of straight lines y2-3y+2=0 and curves y=[a]x2 ,y=[a]x2/2 is greatest..... where [ ] is GINT ...

plot 1) xy=a(x+y) 2) x+y ≥x, y≤2 ...

FInd area enclosed by circle x2+y2=4 ,parabola y=x2+x+1 ,curve y=[sin2(x/4) +cos(x/4)] and X axis where [ ] is GINT ...

plot logmod(sinx)y>0 explain tooooooooo ...

lim (n!/(mn)n)1/n, (m ε N) is equal to????? n→∞ ...

1)[x]+[y]=x 2)y=[x]-[x-(1/2)] 3)[x+y-2]-[x-1]=0 where [ ] is GINT Explain the steps toooo ...

For any real t ,x=2+[(et+e-t)/2], y=2+[(et-e-t)/2] is a point on hyperbola x2-y2-4x+4y-1=0.Find area bounded by hyperbola and the lines joining the centre to the points corresponding to t1 and -t1 (Plz dont solve ...

Find area bounded by 2 branches of curve(y-x)2=x3 and the line x=1 ...

how to draw graph of y≥[sin(πx)]/4 ...

Find area enclosed between y=lnx,y=ln(mod(x)),y=mod(ln(x)),y=mod(ln(mod(x))) ...

Find common region area x2+y2-4≤0 and y≥[sin(πx)]/4 ...

1)cos2x+cosy=0 2) mod(x)+x=mod(y)+y 3)logxlogyx>0 I just dont want the graph.......I want the complete method to plot it.... ...

Find area enclosed by e-mod(x) and X axis ...

while i was doin a big prob...........i was stuck in between wher i shud integrate sumthing...........hw do v do tht???????? x2/√1-x2...............dnt scold me if its too easy k?? ...

Find the curve y=f(x) where f(x)>=0, f(0)=0, bounduing a curvilinear trapezoid with the base [0,x] whose area is proportional to to (n+1)th power of f(x). IT is known that f(1)=1. Answer to this question is ...

form the differential equation of the family of the curved represented by c(y+c)2=x3. where c is an arbitrary constant. ...

limx→4f(x)-5/x-2=1 wat is f(x) ...

Find the area bounded by r=a(1+cosθ),0<θ<2π. ...

There's the general rukle for limits evaluation . lim x→a f(g(x)) = f( lim x→a g(x) ). but I feel , there must be someother condition . cos of this lim x--> 0 [x3] ≠[lim x --> 0 x3] . help ...

if f(x) is a continuous function from R->R and attains only irrational values , then 100 summation( f(r) ) = r=1 (a) 200 summation( f(2r+1) ) r=100 (b) 200 summation( f(r) ) r=101 (c) 101 summation( f(r) ) ...

I don't if it is in syllabus... But sir taught it... F(a)=a∫bf(x,a) F'(a)=a∫bδf(x,a)/δa Try this out in evaluating 0∫1(xa-1)/lnx ...

f(x)=x2+(LL=0,UL=x)∫e^-tf(x-t)dt ...

*Image* ...

Let f be a twice diff function for all real x such that f'(a)=f'(b)=0, f"(a)f"(b)<0, f"(a)>f"(b), f(a)>0, f(b)=0, a<b , also lim(x→±∞)f(x)=0, Then Minimum no of points of: ...

Π/2 statement1) ∫ sin2kxcosxdx=Π/2 ;kε I+ 0 statement2) sin2kx/sinx=2[cosx+cos3x+..........+cos(2k-1)x] are both the statements true if yes then is statement 2 reason of 1 ...

wats the period of sin(cosx)+cos(sinx) ...

Find all the values of m for which equation (x2+x+1)2-(m-3)(x2+x+1)+m=0 (where m is a rel parameter) will have real roots ...

∫{sin2x}/{(cos4x)+(sin4x)}dx Pls post full solution [1] ...