Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e ...

`Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e` `t h e nt h ev a l u eofint_0^2f(x)dxi s` 1 (b) 0 (c) 2 (d) `oo`

`1`

`2`

`3`

`0`

Text Solution

Verified by Experts

Topper's Solved these Questions

INTEGRALS
AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos
INTEGRALS
AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos
INTEGRALS
AAKASH INSTITUTE ENGLISH|Exercise Competition level Questions|80 Videos
DIFFERENTIAL EQUATIONS
AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint_(-2)^3f(x)dx= 0 (b) 1 (c) 2 (d) 3

If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in this interval

If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) is continuous at x=0

L e tA=int_0^oo(logx)/(1+x^3)dxdotT h e nfin dt h ev a l u eofint_0^oo(xlogx)/(1+x^3)dx in terms of Adot

int_(-1)^2[([x])/(1+x^2)]dx ,w h e r e[dot] denotes the greater integer function, is equal to (a) -2 (b) -1 (c) 0 (d) none of these

f(x)=int_1^x(tan^(-1)(t))/t dtAAx in R^+,t h e nfin dt h ev a l u eof f(e^2)-f(1/(e^2))

If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0 . Find whether f(x) is continuous at x=0 .

If f(x)=x^n w h e r en in R , then differentiation of x^n with respect to xsin x^(n-1)dot

int_0^x[sint]dt ,w h e r ex in (2npi,(2n+1)pi),n in N ,a n d[dot] denotes the greatest integer function is equal to -npi (b) -(n+1)pi 2npi (d) -(2n+1)pi

If F(x)a n dG(x) are even and odd extensions of the function f(x)=x|x|+"sin"|x+x e^x ,w h e r ex in (0,1),g(x)=cos|x|+x^2-x ,w h e r ex in (0,1) respectively to the interval (-1, 0)t h e nF(x)+G(x) in (-1,0) is (a). sin x+cos x+x e^(-x) (b)(sin x+cos x+x e^(-x)) (c)(sin x+cos x+x+x e^(-x)) (d)(sin x+cos x+x^2+x e^(-x))

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)

Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...
Text Solution
|
Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...
Text Solution
|
If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...
Text Solution
|
If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...
Text Solution
|
The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...
Text Solution
|
Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e t h e nt h ev...
Text Solution
|
Let g(x) be a continous and differentiable function such that int(0...
Text Solution
|
Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...
Text Solution
|
f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...
Text Solution
|
int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=
Text Solution
|
The value of int(-10)^(10)[{f(f(x)}+{f(f((1)/(x))}]dx, where f(x)=(1-x...
Text Solution
|
The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...
Text Solution
|
If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...
Text Solution
|
The value of int(2010pi+(pi)/(6))^(2010pi+(pi)/(3))(sinx+cosx)dx is
Text Solution
|
Let int(a)^(b)f(x)dx=int(a+c)^(b+c)f(x-c)dx. Then the value of int(0)^...
Text Solution
|
If x^(f(x))=e^(x-f(x)), then the value of integral int(1)^(2)f'(x){(1+...
Text Solution
|
If overset(x)underset(e )int t f(t)dt=sin x-x cos x-(x^(2))/(2) for al...
Text Solution
|
The value of the integral int(-2012pi)^(2012pi) {d/dx(int0^(x^2) cost^...
Text Solution
|
The value of int(-2010pi)^(2010pi) {x^2011(1+tan(pi/3-x)(1+tan(x-pi/1...
Text Solution
|
Let f(x)=min{|x+2|,|x|,|x-2|} then the value of the integral int-2^2 ...
Text Solution
|