Recently Active Calculus Questions

∫dx/1+4cot2x→limit of integarl =0 to pi/2 why not to convert in tan2x? ...

Q) Integrate ((1/(logx))-1/(logx)2)dx ...

Sinx=y.Sin(x+a)......... Prove that dy/dx=Sinx/Sin2(x+a) ...

sqrt ( x4+1 x2+1) ...

1-x2 + 1-y2 =a(x-y) Then Prove that dy/dx= 1-y2/1-x2 ...

Q) 0∫1 log[(1/x)-1)dx ...

limits 0 to 1 2 (tan-1x )2 is this solvable. ...

If F(x) = (1/ x2) , integrate∫0x ( 4 t2 - 2 F '(x) ) dt prove that F'(4) = 32/9.. ...

1. xsinx dx 1+cos2x 2. (x-1)(x-2)(x-3 dx ...

0 to 2pi ecosxcosx(sinx) ans is 2pi . I want the steps. ...

limits -2 to 2 integrate min { x - [x] , - x - [x] } dx [] denotes greatest integer function ...

integrate: (cos5x + cos4x)/(1 - 2cos3x) ...

(x3m + x2m + xm) (2x2m + 3xm + 6)1/m dx, x>0 m belongs to N. ...

integrate [ a+c] to [b+c] f(x)dx ...

Can anyone give an example of integration by differentiation ...

da pblm is 25n+1/4 { 2x+3} let f(X)=∫ e dx , where {x}denotes da fractional part ...da qn is easy but i dunno wer i went wrong 3 ...

Today's Question of Open test(FIITJEE AITS) Let f(x) be a polynomial function of degree 4 satisfying.. (1∫xA(t)B(t)dt)(1∫xC(t)D(t)dt)-(1∫xA(t)C(t)dt)(1∫xB(t)D(t)dt)=f(x) where A(x) B(x) C(x) D(x) are non constant cont ...

RANGE OF 16-x C 2x-1 + 20-3x C 4x-5 is (a) [728 , 1474] (b) {728 , 1474} (c) {0,728} (d) none ...

Q3 lim x->infinity [(x+p)(x+q)(x+r)(x+s)]^1/4 - x x SOLN. ([(x+p)(x+q)(x+r)(x+s)] - x4)/([(x+p)(x+q)(x+r)(x+s)]1/4 + x)([(x+p)(x+q)(x+r)(x+s)]1/2 + x2) now divide numerator and deno by x3 this was a soln by NIshant Sir, Si ...

(√sec x-tanx/√secx + tanx) this whole under root of (secx - tanx/sec x + tanx) ...

Evaluate the limit. lim(x→0) (1-cos2x)/sinx ...

f(x)=(x-p)8(x-q)16 p not equals to q then how many real roots possible for f(x)? and please explain wat is the root repeated and how many times it repeated. please give me ur explanation. ...

Let f (x) = (x2 -1)k where k belongs to N. The number of distinct real roots of equation f n (x) = 0 are 'm' (where f n (x) denotes the nth derivative of f (x)). If 'm' equals to 10 for exactly one value of 'n' , then k equal ...

please everyone help me on this I know for integration ∫f(ax+b)dx = (1/a)F(ax+b) + c is this right? i.e. we do everything with ax+b as we wud have done with x and then divide the whole by coeff. of x is this ok ?? plz ans i ...

limn→∞ (n!/(nk)n)1/n please do solve this even if it seems simple i don't think answer should be 1/(2k) but if you get this somehow it'll be very interesting ...

pl solve Qs 2,5,6,7,10.......it is in test section..most popular tests..test no33 ...

lim (√2 cosx - 1)/ cotx -1 x→Π/4 My answer isn't matching! and I have lost patience...!! Please help!! ...

if x=a(p+sin p), y=a(1-cos p) find dy/dx ans=tan p/2 i m not getting it.pls help dosto... ...

I1=Π/6∫Π/3sinx/x I2=∫(same limits )sin(tanx)/tanx I3=∫(same limits)sin(sinx)/sinx give the relation between I1 I2 and I3 ...

find dy/dx at x=e, y=e2x/logx a) (e-1)e2e/e b) o c) 1 d) (e2-1)e2e/e plz gv itz soln also itz a ques from some test here bt i cldn't solve it,so plz help..................... srry itz derivatives actually...........:) ...