Home
Class 12
MATHS
The number of values of x satisfying the...

The number of values of x satisfying the equation :
`int _(-4) ^(x) (8t ^(2) + (28t )/(3) +4) dt = ((3)/(2) x+1)/(log _((x+1))sqrt(x+1)),` is:

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Number of values of x satisfying the equation int_(-1)^x (8t^2+28/3t+4) \ dt=((3/2)x+1)/(log_(x+1)sqrt(x+1)), is

The value of x gt 1 satisfying the equation int_(1)^(x) tlnt dt=(1)/(4) is

The number of values of x satisfying the equation log_(2)(9^(x-1)+7)=2+log_(2)(3^(x-1)+1) is :

The number of real values of x satisfying the equation 3 |x-2| +|1-5x|+4|3x+1|=13 is:

The number of values of x satisfying 1 +"log"_(5) (x^(2) + 1) ge "log"_(5) (x^(2) + 4x +1) , is

Find the number of values of x satisfying int_(0)^(x)t^(2)sin (x-t)dt=x^(2) in [0, 100] .

The set of real values of x satisfying the equation |x-1|^(log_3(x^2)-2log_x(9))=(x-1)^7

The number of value(s) of x satisfying 1-log_(3)(x+1)^(2)=1/2log_(sqrt(3))((x+5)/(x+3)) is

The number of integral value(s) of x satisfying the equation |x^4 .3^(|x-2|). 5^(x-1)|=-x^4 .3^(|x-2|). 5^(x-1) is

Find the number of real values of x satisfying the equation. log_(2)(4^(x+1)+4)*log_(2)(4^(x)+1)=log_(1//sqrt(2)) sqrt((1)/(8))

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. int(1)^(2)((x^(2)-1)dx)/(x^(3).sqrt(2x^(4)-2x^(2)+1))=(u)/(v) where u...

    Text Solution

    |

  2. The value of int(a)^(b)(x^(n-1)((n-2)x^(2)+(n-1)(a+b)x+nab))/((x+a)^(2...

    Text Solution

    |

  3. The number of values of x satisfying the equation : int (-4) ^(x) (8...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. If x=int(0)^(t^(2))e^(sqrt(z)){(2tan sqrt(z)+1-tan^(2)sqrt(z))/(2sqrt(...

    Text Solution

    |

  6. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  7. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

    Text Solution

    |

  8. Find Lim {x->oo}{ (1+1/(n^2))^(2/n^2)(1+4/(n^2))^(4/n^2).....(1+(n^2)/...

    Text Solution

    |

  9. The freezing point of an aqueous solution of KCN containing 0.1892" m...

    Text Solution

    |

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

    Text Solution

    |

  11. The area bounded by the curve y = cos^(-1) (cos x) and y = | x - pi| i...

    Text Solution

    |

  12. A point P moves in XY-plane in such a way that [|x|]+[|y|]=1, where [....

    Text Solution

    |

  13. If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+(1)/(4^(2))+……+ oo=(pi^(2))/(6)...

    Text Solution

    |

  14. A function f(x) satisfie f(x)=f((c)/(x)) for some real number c( gt 1)...

    Text Solution

    |

  15. If 2int0^1 tan^(-1)x dx= int0^1 cot^(-1)(1-x+x^2) dx then int0^1 tan^(...

    Text Solution

    |

  16. Let f:[0,1]to R be a continuous function then the maximum value of in...

    Text Solution

    |

  17. Find the number of values of x satisfying int(0)^(x)t^(2)sin (x-t)dt=x...

    Text Solution

    |

  18. If the value of definite integral int(0)^(2)(ax +b)/((x^(2)+5x+6)^(2)...

    Text Solution

    |

  19. Let f(x) be a real valued function such that f(x)=f(121/x), AA x>0.If ...

    Text Solution

    |

  20. If the area enclosed by the curve y^(2)=4x and 16y^(2)=5(x-1)^(3) can...

    Text Solution

    |