Recently Active Calculus Questions

f(x)=(x^{2}-1)\left | x^{2}-3x+2 \right | + cos\left | x \right | is NOT differentiable at x= A) -1 B) 0 C) 1 D) 2 ...

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Q1 min value of f(x)= a2cos2x+b2sin2x + a2sin2x+b2cos2x Q2 What is condition so that f(x)=ax3+bx2+cx+dsinx is one one fn ...

Multiple Correct Answer Type Let f(x)=\left\{\begin{matrix} x^{2}sin\frac{1}{x}\; \; x\neq0 \\ 0\; \; \; \; \; \; x=0 \end{matrix}\right. then: A) f and f' are continuous at x=0 B) f is derivable at x=0 C) f is derivable at x ...

Is \; the\; function\; f(x)=e^{-\left | x \right |} \; \; differentiable \; at \; x=0 Give Reason. ...

Let n is a positive integer greater than 7 and let f(x) is a biquadratic polynomial with *Image* and *Image* .Let *Image* and remainder when g(x) is divided by f(x) is *Image* then find the value of a b and c in terms of n ...

∫ 1/√3 sin x + cos x dx (there is no square root on sinx it's just √3 sin x is outside root.) [ ans - 1/2 log l tan ( x/2 + pi/12 ) + c ] ...

PROVE THAT (( a/b )α +1)1/α < (( a/b ) β+1)1/β where α > β ...

In = - x n-1( a2 - x2 ) 3/2/n + 2 + kIn-2. then the value of k is ........................... [ ans. ------ n - 1/n + 2 a2 ] ...

q1>Find points of discontinuity \begin{Bmatrix} [cos(\pi x)] & x\leq 1 \\ \left|2x-3 \right|[x-2] & x>1 \\ \end{Bmatrix} q2> FInd points of dicontinuity \begin{Bmatrix} 2x+1 & x\epsilon Q \\ x^2 & x\epsilon \bar{Q} \ ...

\int_{0}^{2\pi}{e^{cos\alpha}cos(sin\alpha)d\alpha . ...

draw the graph of sin(ex) ...

Let y = [ √x ] x x x x x. . . . . . ( infinite times ) Find dy/dx in terms of x , y , log y and log x and no other variable. ...

[x]+[2x]+[4x]+[8x]+[16x]+[32x]=12345 where[]-GIF ...

Tangents at a point P1 (other than(0,0) on the curve y=x3 meets the curve again at P2. The tangents at P2 meets the curve at P3 and so on. Show that the abscissae of P1,P2, P3,.....Pn form a G.P. Also find the ratio of area o ...

let f(X) be a continous funtion such that f(x)>0 and f(x)^101 =1+∫ f(t)dt.[integrate from 0 to x] the value of (f(100))^101 a) 99 b) 100 c) 101 d) 98 ...

Q1 Let h(x) = l kx+5 l and domain of f(x) and f(h(x)) are [-5,7] and [-6,1] respectively, then value of k is _____ (the answer is X if cant say) Q2. lim(x->0) [ sinx/x ] = _____ [lim(x-->0) sinx/x ] = ______ ...

pi/2 ∫ [ k2(cos 3x + cos x/2 ) + sin x - 2k cos x] dx ≤ 0.... Number of values of k..........{where [.] is G.I.F} 0 { k belongs to I } [ANS >>>>>>>>>> 12] ...

pi/2 ∫ sin 2nx log cos x dx = 0 A)pi/2 B) pi/2 C) pi/2 ∫ cot cos 2nx dx ∫ tan cos 2nx dx 1/2n ∫ tan sin 2nx dx 0 0 0 ...

If y=f(x) be concave upward function and y=g(x) be a function such that f'(x).g(x)-g'(x).f(x)= x^4+2x^2+10, then a) g(x) has atleast one root between two consecutive roots of f(x) b) g(x) has at most one root between two cons ...

Solution of y( 2x4 + y ) dy/dx = (1 - 4xy2)x2 [ANS IS............... 2 yx5/5 + y3/3 = x3/3 - 4xy3/3 + c ] ...

min [ (x1 - x2)2 + ( 5 + √(1 - x12) - √(4x2)2 ] for all x1 & x2 belongs to R is............... ...

Value of k for which lim cosec -1 ( k2/ln x - k2/x - 1 ) exists is ........ x→1 ...

a) Domain of 1/ x-(x) b) Doamin of (sinx)-(cosx) where (.) denotes LINT ...

AREA BOUNDED BY 4y2=x2(4 - x2) is................. ...

∫ (x+1)/x(1+xex)2 dx [yaar options nahin hai isme]. ...

∞ In = ∫ e-x(sin x)n dx (n>1), then value of 101 I10/I8 o is equal to.................... ANS [ 90 ] ...

Integrate ∫ 1/1+x4 limits are from 0 to infinity.. Somebody Pls try this sum , I am aware this has been discussed earlier but i cant find the thread.. if anyone can find it pls post the link here , i'll be grateful.. ...

lim ln cot (pi/4 - k1x)/tan k2x = 1. x→0 THEN FIND RELATION BETWEEN k1 and k2. ...

*Image* ...