Home
Class 12
MATHS
int4^10([x^2])/([x^2-28 x+196]+[x^2])dx ...

`int_4^10([x^2])/([x^2-28 x+196]+[x^2])dx` is (A) 3 (B) 5 (C) 7 (D) 9

A

`1/3`

B

`6`

C

`7`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) Numerical Answer Type Questions|19 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

int_((C))^(10)([x^(2)])/([x^(2)-28x+196]+[x^(2)])dx is (A)3(B)5

If [.] represents the greatest integer function, then int_(4)^(10)([x^(2)])/([x^(2)-28x+196]+[x^(2)])dx is equal to 0 (b) 1 (b) 3 (d) none of these

If [x] stands for the greatest integer function, the value of int_(4)^(10)([x^(2)])/([x^(2)-28x+196]+[x^(2)])dx , is

If (x) donotes the greates integer lex, then the value of int_(4)^(10)([x^(2)])/([x^(2)-28x+196]+[x^(2)]) dx is -

The value of int_-2^3 |1-x^2|dx is (A) 7/3 (B) 14/3 (C) 28/3 (D) 1/3

The term independent of x in the expansion of (sqrt(x/3)+2/(2x^2))^10 is (A) 9/4 (B) 3/4 (C) 5/4 (D) 7/4

The value of int_(-2)^(3)|1+x^(2)|dx is (A) (7)/(3)(B)(14)/(3) (C) (28)/(3)(D)(50)/(3)

int_-1^1 (sinx+x^2)/(3-|x|)dx= (A) 0 (B) 2int_0^1 sinx/(3-|x|)dx (C) 2int_0^1 x^2/(3-|x|)dx (D) 2int_0^1 (sinx+x^2)/(3-|x|)dx

int (x^3+5x^2+4)/x^2 dx=

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. If 2int0^1 tan^(-1)x dx= int0^1 cot^(-1)(1-x+x^2) dx then int0^1 tan^(...

    Text Solution

    |

  2. underset (n rarr infty )(lim) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is e...

    Text Solution

    |

  3. int4^10([x^2])/([x^2-28 x+196]+[x^2])dx is (A) 3 (B) 5 (C) 7 (D) 9

    Text Solution

    |

  4. The integral int(pi/12)^(pi/4)(8cos2x)/((tanx+cotx)^3)dx equals

    Text Solution

    |

  5. If int(1)^(2) (dx)/( (x^(2) -2x + 4)^(3/2))=(k)/( k+5) then k is equal...

    Text Solution

    |

  6. int(pi//4)^(3pi//4)(dx)/(1+cos x)=

    Text Solution

    |

  7. Find a for which lim(n->oo) (1^a+2^a+3^a+...+n^a)/((n+1)^(a-1)[(na+1)+...

    Text Solution

    |

  8. If i is the greatest of the definite integrals I1=int0^1 e^-x cos ^2 ...

    Text Solution

    |

  9. The value of the integral int(-pi//2)^(pi//2) sin^(4) x (1+ log ((2+ s...

    Text Solution

    |

  10. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x))dx is

    Text Solution

    |

  11. The value of int(0)^(pi)|cos x|^(3)dx is :

    Text Solution

    |

  12. If int(0)^(pi//3)(tantheta)/(sqrt(2ksectheta))d theta=1-(1)/(sqrt(2)),...

    Text Solution

    |

  13. lim(n rarr oo)((n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2)) + (n)/(n^(2)+3^(2))...

    Text Solution

    |

  14. If |f(x)-f(y)|le2|x-y|^((3)/(2)) AAx,yinR and f(0)=1 then value of int...

    Text Solution

    |

  15. The value of int(-pi//2)^(pi//2)(dx)/([x] + [ sin x] +4), where [t]...

    Text Solution

    |

  16. If int0^xf(t)dt=x^2+intx^1t^2f(t)dt, then f^(prime)(1/2) is

    Text Solution

    |

  17. The value of the integral underset(-2)overset2intsin^2x/(-2[x/pi]+1/2)...

    Text Solution

    |

  18. The integral int(1)^(e){((x)/(e))^(2x)-((e)/(x))^(x)} "log"(e)x dx is...

    Text Solution

    |

  19. Let f and g be continuous functions on [ 0 , a] such that f(x)=f(x)=...

    Text Solution

    |

  20. The integral int(pi//6)^(pi//4)(dx)/(sin2x(tan^(5)x+cot^(5)x)) equals

    Text Solution

    |