Home
Class 12
MATHS
If I(1) = int(0)^(1) 2^(x^(2))dx, I(2) =...

If `I_(1) = int_(0)^(1) 2^(x^(2))dx, I_(2) = int_(0)^(1) 2^(x^(3))dx`, `I_(3) = int_(1)^(2) 2^(x^(2))dx, I_(4)=int_(1)^(2) 2^(x^(3))dx` then

A

`I_(1) gt I_(2)`

B

`I_(2) gt I_(1)`

C

`I_(3) gt I_(4)`

D

`I_(3) = I_(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|67 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(3)(2+x^(2))dx=

I= int_(0)^(1)e^(x^(2))dx rArr

int_(0)^(2) [x^(2)-1]dx=

int_(0)^(1)(x)/(1+x^(2))dx=

int_(0)^(1) (x^2)(1+x^2) dx =

If I=int_(0)^(1)sqrt(1+x^(3))dx then

int_(2)^(3) (2x)/(1+x^(2))dx

If I_(1)= int_(0)^(3pi) f( sin^(2) x)dx and I_(2)= int_(0)^(pi) f(sin^(2)x)dx then

int_(0)^(2)(3x^(2)+4x+3)dx=

int_(-1)^(1)(x-[2x])dx=

AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
  1. If I(1)= int(0)^(3pi) f( sin^(2) x)dx and I(2)= int(0)^(pi) f(sin^(2)x...

    Text Solution

    |

  2. I= int(0)^(1)e^(x^(2))dx rArr

    Text Solution

    |

  3. If I(1) = int(0)^(1) 2^(x^(2))dx, I(2) = int(0)^(1) 2^(x^(3))dx, I(3) ...

    Text Solution

    |

  4. If [x] denotes the greatest integer less than or equal to x then int(1...

    Text Solution

    |

  5. int(0)^(oo)[(2)/(e^(x))]dx=

    Text Solution

    |

  6. Let I = int(0)^(1) (sin x)/(sqrt(x)) dx and J= int(0)^(1) (cos x)/(sqr...

    Text Solution

    |

  7. Which of the following is true Statement-I : int(0)^(2pi) sqrt((1-cos2...

    Text Solution

    |

  8. Which of the following are false : Statement-I : (int(0)^(pi//2) (sq...

    Text Solution

    |

  9. Which of the following are true: I : int(0)^(4) sqrt(x^(2)-4x +4)dx=...

    Text Solution

    |

  10. Arrange the following according to their values in ascending order A...

    Text Solution

    |

  11. If 2 int(0)^(1) tan^(-1) x dx = int(0)^(1) cot^(-1) (1- x+x^(2))dx, th...

    Text Solution

    |

  12. Arrange the following according to their values in ascending order A...

    Text Solution

    |

  13. Match the following : {:(" LIST - I","LIST - II"),("I)" int(0)^(2)|...

    Text Solution

    |

  14. If I(n) = int(0)^(pi//2) x^(n).cos x dx then the value of I(9)+72I(7)=

    Text Solution

    |

  15. int(-pi//4)^(pi//4)((x+pi//4)/(2-cos2x))dx=

    Text Solution

    |

  16. For x in R, x != 0, if y(x) is a differentiable function such that x i...

    Text Solution

    |

  17. Lt(ntooo){(1)/(n)+(1)/(n+1)+(1)/(n+2)+.......+(1)/(3n)}=

    Text Solution

    |

  18. int(-2)^(3) |1-x^(2)|dx=

    Text Solution

    |

  19. Evaluate (iii) int(0)^(pi)(x sin^(3)x)/(1+cos^(2)x)dx

    Text Solution

    |

  20. Match the following {:("List - 1","List - II"),("I) "int(-1)^(1)x|x|d...

    Text Solution

    |