Home
Class 12
MATHS
The value of the definite integral int(...

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

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

The value of the definite integral int _(0) ^(10) ((x-5) +(x-5)^(2) +(c-5)^(3)) dx is:

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

The value of the integral int_(0)^(1)xcot^(-1)(1-x^(2)+x^(4)) dx is

The value of the definite integral int_(-1)^(1)(1+x)^(1//2)(1-x)^(3//2)dx equals

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

The value of the definite integral int_(0)^(2) (sqrt(1+x ^(3))+""^(3) sqrt(x ^(2)+ 2x)) dx is :

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

The value of the definite integral int _(0)^(infty) (dx)/((1+x^(a))(1 + x^(2))) (a gt 0) is

The value of the integral int_(0)^(1) e^(x^(2))dx lies in the integral

The value of the integral int_(0)^(1) x(1-x)^(n)dx is -

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The value of int0^1e^(x^2-x)dx is (a)<1 (b) >1 (c) > e^(-1/4) ...

    Text Solution

    |

  2. Evaluate: int0^(1)x(dx)/(sqrt(1-x^(2)))

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that 0 lt int0^1(x^7dx)/((1+x^8)^(1/3)) lt 1/8

    Text Solution

    |

  5. Let a , b , c be nonzero real numbers such that int0^1(1+cos^8x)(a x^2...

    Text Solution

    |

  6. Let f(x) be a continuous and differentiable function such that f(x)=...

    Text Solution

    |

  7. Evaluate: 5050(int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^(101)dx)

    Text Solution

    |

  8. Ifint(pi/3)^xsqrt((3-sin^2t))dt+int0^ycostdt=0,then evaluate (dy)/(d...

    Text Solution

    |

  9. If f(x)=int0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a)f(x)+f...

    Text Solution

    |

  10. Evaluate: int(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a ...

    Text Solution

    |

  11. Evaluate: int(0)^1(dx)/(1+x^2)

    Text Solution

    |

  12. If f(t) is an odd function, then prove that varphi(x)=inta^xf(t)dt is ...

    Text Solution

    |

  13. Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx

    Text Solution

    |

  14. Find the value of int(0)^(1){(sin^(-1)x)//x}dx.

    Text Solution

    |

  15. Show that int0^(npi+v)|sinx|dx=2n+1-cosv , where n is a positive int...

    Text Solution

    |

  16. Find I=int0^pi ln(1+cosx)dx

    Text Solution

    |

  17. The value of inta^b(x-a)^3(b-x)^4dx is

    Text Solution

    |

  18. Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

    Text Solution

    |

  19. The value of int(-a)^a(cos^(- 1)x-sin^(- 1)sqrt(1-x^2))dx is (a>0) t...

    Text Solution

    |

  20. If f is an odd function, then evaluate I=int(-a)^a(f(sinx)dx)/(f(cosx...

    Text Solution

    |