Home
Class 12
MATHS
The value of int0^1e^(x^2-x)dx is (a)<...

The value of `int_0^1e^(x^2-x)dx` is (a)`<1` (b) `>1` (c) `> e^(-1/4)` (d) `

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

int_0^1 e^(2-3x)dx

int_0^1 x^2 e^(2x) dx

int_0^1 e^x dx

Evaluate: int_0^1x\ e^x dx

The value of int_0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is

The value of int_0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is

Write a value of int1/(1+2\ e^x)\ dx

int_0^1(e^x dx)/(1+e^x)

Evaluate int_(0)^(1)(e^(-x)dx)/(1+e^(x))

Prove that int_0^1x e^x dx=1

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If inta^b(f(x)-3x)dx=a^2-b^2 then the value of f(pi/6) is

    Text Solution

    |

  2. L e tI1=int(pi/6)^(pi/3)(sinx)/x dx ,I2=int(pi/6)^(pi/3)sin(sinx)/(sin...

    Text Solution

    |

  3. The value of int0^1e^(x^2-x)dx is (a)<1 (b) >1 (c) > e^(-1/4) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |