Home
Class 12
MATHS
The value of the definite integral int0^...

The value of the definite integral `int_0^1(1+e^-x^2)dx` (b) 2 `1+e^(-1)` (d) none of these

A

-1

B

2

C

`1+e^(-1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 1|57 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integrals int_0^1x e^(x^2)dx

The value of the definite integral int_(0)^(1)(1+e^(-x^(2))) dx is

Evaluate the definite integrals int_0^1 (dx)/(1-x^2)

Evaluate the definite integrals int_0^1(2x+3)/(5x^2+1)dx

Evaluate the definite integrals int_0^1(x e^x+sin(pix)/4)dx

Evaluate the definite integrals int_0^1(x e^x+sin(pix)/4)dx

Evaluate the definite integrals int_0^1(2x+3"")/(5x^2+1)dx

Evaluate the definite integrals int_0^ 1(dx)/(sqrt(1-x^2))

Evaluate the following definite integral: int_0^1 1/(1+x^2)dx

Evaluate the following definite integral: int_0^1 1/(1+x^2)dx

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. int(0)^(1) |sin 2pi x|dx id equal to

    Text Solution

    |

  2. Evaluate: int(-pi)^pi(cosa x+s in b x)^2dx

    Text Solution

    |

  3. The value of the definite integral int0^1(1+e^-x^2)dx (b) 2 1+e^...

    Text Solution

    |

  4. If I=int(-pi)^(pi) (sin^(2))/(1+a^(x))dx, a gt 0, then I equals

    Text Solution

    |

  5. If n is an odd natural number, then int(-pi//6)^(pi//6) (pi+4x^(n))/...

    Text Solution

    |

  6. If I(1)=int(0)^(x) e^("zx ")e^(-z^(2))dz and I(2)=int(0)^(x) e^(-z^(2)...

    Text Solution

    |

  7. int(0)^(1//2) |sin pi x|dx is equal to

    Text Solution

    |

  8. If f(x)=int(0)^(x) log ((1-t)/(1+t)) dt, then discuss whether even or ...

    Text Solution

    |

  9. int(1//3)^(3) (1)/(x)sin ((1)/(x)-x)dx is equal to

    Text Solution

    |

  10. If F(x)=int(x^(2))^(x^(3)) log t dt (x gt 0), then F'(x) equals

    Text Solution

    |

  11. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

    Text Solution

    |

  12. If I=int(0)^(1) (dx)/(1+x^(4)), then

    Text Solution

    |

  13. The value of int(-1)^(1)(x|x|)dx is equal to

    Text Solution

    |

  14. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

    Text Solution

    |

  15. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

    Text Solution

    |

  16. int(ac)^(bc)f(x)dx, where c ne 0, is also equal to :

    Text Solution

    |

  17. (d)/(dx)(int(f(x))^(g(x)) phi(t)dt) is equal to

    Text Solution

    |

  18. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

    Text Solution

    |

  19. The value of int(0)^(2) | cos ""(pi)/( 2) t|dt is equal to

    Text Solution

    |

  20. If int(0)^(1) cot^(-1)(1-x+x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

    Text Solution

    |