Home
Class 12
MATHS
Let I=int1^3sqrt(3+x^3)dx , then the va...

Let `I=int_1^3sqrt(3+x^3)dx` , then the value of `I` will lie in the interval (a)`[4,6]` (b) `[1,3]` (c)`[4,2sqrt(30)]` (d) `[sqrt(15),sqrt(30)]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos
  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

Let I = int_(1)^(3)sqrt(x^(4)+x^(2)) , dx then

Let I=int_1^2 (dx)/sqrt(2x^3-9x^2+12x+4) then

If I=int_(3)^(4) (1)/(3sqrt(logx))dx then

int(sqrt(x))/(1+4sqrt(x^(3)))dx is equal to

If f(x)="cos"(tan^(-1)x), then the value of the integral int_0^1xf''(x)dx"i s" (a) (3-sqrt(2))/2 (b) (3+sqrt(2))/2 1 (d) 1-3/(2sqrt(2))

Let y=1/(2+1/(3+1/(2+1/(3+)))) , then the value of y is (a) (sqrt(13)+3)/2 (b) (sqrt(13)-3)/2 (c) (sqrt(15)+3)/2 (d) (sqrt(15)-3)/2

int1/(sqrt(x+3)-sqrt(x+2))\ dx

Maximum value of |z+1+i|, where z in S is (a) sqrt(2) (b) 2 (c) 2sqrt(2) (d) 3sqrt(2)

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

If the vertices of the parabola be at (-2,0) and (2,0) and one of the foci be at (-3,0) then which one of the following points does not lie on the hyperbola? (a) (-6, 2sqrt(10)) (b) (2sqrt6,5) (c) (4, sqrt(15)) (d) (6, 5sqrt2)

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The values of a for which the integral int0^2|x-a|dxgeq1 is satisfie...

    Text Solution

    |

  2. evaluate: I=int(2x)/((x^2+1)(x^2+3))dx is

    Text Solution

    |

  3. Let I=int1^3sqrt(3+x^3)dx , then the value of I will lie in the inte...

    Text Solution

    |

  4. Ifinta^b|sinx|dx=8a n dint0^(a+b)|cosx|dx=9,t h e n (a) a+b=(9pi)/2 ...

    Text Solution

    |

  5. If f(x)={0 ,where x=n/(n+1),n=1,2,3.... and 1 else where then the va...

    Text Solution

    |

  6. The function f and g are positive and continuous. If f is increasing a...

    Text Solution

    |

  7. A Function f(x) satisfies the relation f(x)=e^x+int0^1e^xf(t)dtdot T...

    Text Solution

    |

  8. Let f(x) be positive, continuous, and differentiable on the interval ...

    Text Solution

    |

  9. Letf: (0,oo)->R andF(x^3)=int0^ 3f(t)dt, if F(x^3)=x^3(x^2+x+1).Then f...

    Text Solution

    |

  10. Ifg(x)=int0^x2|t|dt,then (a)g(x)=x|x| (b)g(x) is monotonic (c) g(x...

    Text Solution

    |

  11. Prove that the value of the integral, int(0)^(2a)(f(x))/(f(x)+f(2a-x)...

    Text Solution

    |

  12. Let f:[1/2,1]->R (the set of all real numbers) be a positive, non-con...

    Text Solution

    |

  13. Let f be a real-valued function defined on the inverval (-1,1) such th...

    Text Solution

    |

  14. int(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx

    Text Solution

    |

  15. The value of int(sqrt(ln2))^(sqrt(ln3))(xsinx^2)/(sinx^2+sin(ln6-x^2))...

    Text Solution

    |

  16. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

  17. (lim)(n to oo)n/(2^n)int0^2x^n dx equals

    Text Solution

    |

  18. Let f:[0,oo) to R be a continuous strictly increasing function, such t...

    Text Solution

    |

  19. A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint0...

    Text Solution

    |

  20. L e tf(x)=x^3-(3x^2)/2+x+1/4 Then the value of (int(1/4)^(3/4)f(f(x...

    Text Solution

    |