Recently Active Calculus Questions

Let f(X) = ∫01 |t - x| tdt. 1) Number of common tangent to curve x2 + y2 = 4 and f(x) (A) 1 (B) 2 (c) 4 (D) infinite ...

Find the value of - *Image* btw...why is latex not working ? ...

\int_{0}^{[x]/3}{2^{\left\{3x \right\}}}dx where {} represents fractional part ...

Let I= ∫p/20 sinx/x dx then I lies in the interval a) (0,1) b) [0,1] c) [0, 3/2 ] d) [1,2) ...

1) let polynomials A(x),B(x),C(x),if dey exist satisfy for all x *Image* find polynomials A(x),B(x),C(x) 2) Find all (x,y) such that *Image* . ...

*Image* ...

1) Let f(x+y)= f(x).f(y) for all x & y. Given that f(3)=3 & f'(0)= 11.Then f'(3)= ? A) 22 B) 44 C) 33 D) None Assertion-Reason Type - 2) I- The sum or difference of two discontinuos functions may be continuous at a point. II- ...

with appropriate working f(x)= \left(1+\frac{1}{x} \right)^{x} ...

\int \frac{dx}{(1+\sqrt{x})\sqrt{x-x^{2}}} ...

determine teh value of r>1 such that \int_{0}^{\infty }{\frac{dx }{(1+x^{r})^{r}}}=1 ...

*Image* ...

*Image* latex not working here....thats why posted like this.. ...

(1) Let I=\int_{1/2}^{2}{\frac{ln(t)}{1+t^{n}}}dt , find the sign of Integral for different values of n\varepsilon N +\left\{0 \right\} ...

*Image* ...

1. lim x->0 (1+sin x) - (1- sin x) /x 2. lim x->0 xcos x -sin x/x2sin x ...

1. Is cos x2 a periodic function ? 2. Find the fundamental period of the function 2cos x-Ï€/3 ...

i m trying to learn to draw graphs , and i m facing a few problems with it. we kno how to draw graph of a quadratic , and we can also draw graph of a few simple trigo functions but when there is a situation such that the func ...

Find the domain of the function: f(x)= cos (sin x) + sin-1 1+x2/2x ...

the solution of 2 ^ x + 2 ^{| x|} \geq 2\sqrt{2} is ...

\frac{1}{ 1 + x^{n- m} + x^{p-m}} + \frac{1}{1 +x ^{m-n}+x^{p-n}} +\frac{1}{1 + x^{m-p}+x ^{n-p }} = y THEN FIND dy / dx ...

Q1. If f(x) = x\int_{0}^{1}{f(x)}dx + \int_{0}^{2}{f(x)}dx-5 , and the area of the region bounded by y= f(x) and y=(1-x) between x=0 and x=1 is A, then 2A equals _______ Q2. If f(x) = \int x^{x+1}(logx+(logx)^2)dx and f(1) = ...

psoting some doubts of functions here...plzz help... 1. range of f(x) = 1/2-sin 3x , m getting [1/2,1]...but the answer is [1/3,1]. 2. If f(x) is an odd peridic function with period 2 then f(4) equals...?? 3. f:R→R...then f ...

if g(x) is a polynomial satisfying g(s)g(y)=g(x)+g(y)+g(x y)-2 for all real x and y and g(2) = 5, then find g(3). ...

∫ x2/(xsin x+ cos x)2 dx ...

maybe this has been doen before..but i ma not getting link... if it hasnt been..then plz help n=1Σ∞ n/4n4+1 ...

2f(sinx)+f(cosx)=x then find the range of f(x) ...

∫ x2/(a+bx)2 dx ...

How to solve such kinds? find inverse of y = 10x-10-x/10x+ 10-x + 1 ...

∫ 1/sin(x-a) cos(x-b) dx ...

clearing all my doubts today ... Pick the correct options from the following for the below question , and state reasons for the false ones Q1] If g(x) is an inverse function of f(x) then a] g(x)=f-1(x) b] f(g(x)) =x c] f(x) = ...