Home
Class 12
MATHS
The value of the definite integral in...

The value of the definite integral `int_0^(sqrt(1n(pi/2)))cose^(x^(2))2 x e^(x^2)dxi s` 1 (b) `1+(sin1)` `1-(sin1)` (d) `(sin1)-1`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

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

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

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

The value of the integral int(sin(x/2))/sqrt(1+sin(x/2)) dx can be

The integral int_0^pi sqrt(1 + 4 sin^2(x/2) - 4 sin (x/2)) dx equals :

The maximum and minimum values of the integral int_0^(pi/2)dx/(1+sin^2x) are

The value of the integral int_(pi/6)^(pi/2) ((1 + sin 2x + cos 2x)/(sin x + cosx)) dx is

If the value of the definite integral int_0^1(sin^(-1)sqrt(x))/(x^2-x+1)dx is (pi^2)/(sqrt(n)) (where n in N), then the value of n/(27) is

The value of the integral int_0^1sqrt((1-x)/(1+x))dx i s (a) pi/2+1 (b) pi/2-1 (c) -1 (d) 1

Integrate : int(sin^(-1)x)^(2)dx

The integral int_(0)^(x)sqrt(1+4sin^(2)""(x)/(2)-4sin""(x)/(2))dx equals-

Evaluate int_0^sqrt3 (1/(1+x^2)) sin^(-1)((2x)/(1+x^2)) dx

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If P(x) is a polynomial of the least degree that has a maximum equal t...

    Text Solution

    |

  2. Evaluate: int0^pixlogsinxdx

    Text Solution

    |

  3. The value of the definite integral int0^(sqrt(1n(pi/2)))cose^(x^(2)...

    Text Solution

    |

  4. Evaluate: int0^(π/2)cos2x+4sin2x cos2xdx

    Text Solution

    |

  5. The value of int1^((1+sqrt(5))/2)(x^2+1)/(x^4-x^2+1)log(1+x-1/x)dx is...

    Text Solution

    |

  6. If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and pos...

    Text Solution

    |

  7. If f(x) is monotonic differentiable function on [a , b] , then int...

    Text Solution

    |

  8. L e tA=int0^oo(logx)/(1+x^3)dx Then find the value of int0^oo(xlogx)/(...

    Text Solution

    |

  9. Show that : int0^1(logx)/((1+x))dx=-int0^1(log(1+x))/x dx

    Text Solution

    |

  10. The value of lim(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi...

    Text Solution

    |

  11. answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...

    Text Solution

    |

  12. Match the statements/expression given in Column I with the values give...

    Text Solution

    |

  13. If I1=int0^pixf(sin^3x+cos^2x)dxa n d I2=int0^(pi/2)f(sin^3x+cos^2x)d...

    Text Solution

    |

  14. int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx

    Text Solution

    |

  15. Find the value of int0^1 2x^3-3x^2-x+1 3dxdot

    Text Solution

    |

  16. If int0^oox^(2n+1)dote^(-x^2)dx=360 , then the value of n is

    Text Solution

    |

  17. Evaluate: int0^oo(dx)/(1+x^2)

    Text Solution

    |

  18. If I1=int0^(pi/2)costhetaf(sintheta+cos^2theta)d(theta) and I2=int0^(...

    Text Solution

    |

  19. If f(a+b-x)=f(x), then prove that inta^b xf(x)dx=(a+b)/2inta^bf...

    Text Solution

    |

  20. Let I1=int(-2)^2(x^6+3x^5+7x^4)/(x^4+2)dx and I2=int(-3)^1(2(x+1)^2+1...

    Text Solution

    |