Home
Class 12
MATHS
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`

A

1

B

0

C

2

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 2 Part - II|17 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 2 Part - III|25 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 1 Part-III|1 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos
  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 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))

RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
  1. about to only mathematics

    Text Solution

    |

  2. lim(trarr(pi/2)^(-))int(0)^(t) tanthetasqrt(costheta)ln(costheta)d the...

    Text Solution

    |

  3. 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

    |

  4. If int0^ooe^(-x^2) dx=(sqrtpi)/2 , then int0^ooe^(-ax^2) dx where ...

    Text Solution

    |

  5. If sum(i=1)^(4)(sin^(-1)x(i)+cos^(-1)y(i))=6pi, then \int\limitsum(i=1...

    Text Solution

    |

  6. The tangent, represented by the graph of the function y=f(x), at the p...

    Text Solution

    |

  7. Ifint0^1(e^t dt)/(t+1)=a ,t h e ne v a l u a t eint(b-1)^b(e^(-t)dt)/(...

    Text Solution

    |

  8. int1^2 x^(2x^2+1)(1+2lnx)dx is equal to

    Text Solution

    |

  9. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  10. If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...

    Text Solution

    |

  11. If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :

    Text Solution

    |

  12. Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...

    Text Solution

    |

  13. Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...

    Text Solution

    |

  14. Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then

    Text Solution

    |

  15. If u(n) = int(0)^(pi/2) x^(n)sinxdx, then the value of u(10) + 90 u(8...

    Text Solution

    |

  16. The value of int(1/e)^(tanx)(tdt)/(1+t^2)+int(1/e)^(cotx)(dt)/(t(1+t^2...

    Text Solution

    |

  17. Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...

    Text Solution

    |

  18. The value of underset (nrarrinfty)(lim)("sin"(pi)/(2n)."sin"(2pi)/(2n)...

    Text Solution

    |

  19. Area bounded by the region consisting of points (x,y) satisfying y le ...

    Text Solution

    |

  20. The area enclosed between the curves y=log(e)(x+e),x=log(e)((1)/(y)), ...

    Text Solution

    |