Home
Class 12
MATHS
By using the properties of definite inte...

By using the properties of definite integrals, evaluate the integral: `int_0^pi (log(1+cosx))dx`

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos

Similar Questions

Explore conceptually related problems

By using the properties of definite integrals, evaluate the integral: int_0^(2pi) (cos^5x)dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/4) log(1+tanx) dx

By using the properties of definite integrals, evaluate the integral: int_0^pi (x)dx/(1+sinx)

By using the properties of definite integrals, evaluate the integral: int_0^4 |x-1|dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) cos^2x dx

By using the properties of definite integrals, evaluate the integral: int_0^1 x(1-x)^n dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (2log sinx-logsin2x)dx

By using the properties of definite integrals, evaluate the integral: int_2^8 |x-5|dx

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

By using the properties of definite integrals, evaluate the integral: int_-5^5 |x+2|dx

PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. By using the properties of definite integrals, evaluate the integrals:...

    Text Solution

    |

  2. Evaluate the following integrals: underset(0)overset(pi//2)int(sinx-...

    Text Solution

    |

  3. By using the properties of definite integrals, evaluate the integral: ...

    Text Solution

    |

  4. Evaluate the following integrals: underset(0)overset(a)int(sqrtx)/(s...

    Text Solution

    |

  5. Evaluate the integrals underset0overset4int |x-1|dx

    Text Solution

    |

  6. Show that int0^a f(x)g(x)dx = 2 int0^a f(x)dx, if f and g are defined ...

    Text Solution

    |

  7. The value of int(-pi//2)^(pi//2) (x^3+xcosx+tan^5x+1)dx is :

    Text Solution

    |

  8. The value of int(0)^(pi//2)log((4+3sinx)/(4+3cos x))dx is

    Text Solution

    |

  9. Integrate the function: 1/(x-x^3)

    Text Solution

    |

  10. Integrate the function: 1/(sqrt(x+a)+sqrt(x+b))

    Text Solution

    |

  11. Evaluate the following integrals : int(dx)/(xsqrt(ax-x^2))

    Text Solution

    |

  12. Integrate the following functions w.r.t. x, 1/(x^2(x^4+1)^(3/4))

    Text Solution

    |

  13. Integrate the following functions w.r.t. x, 1/x^(1/2)+x^(1/3)

    Text Solution

    |

  14. Integrate the following functions w.r.t. x, 1/(x^2(x^4+1)^(3/4))

    Text Solution

    |

  15. Integrate the following functions w.r.t. x, (sinx)/(sin(x-a)

    Text Solution

    |

  16. Integrate the function: (e^(5logx) - e^(4logx))/(e^(3logx)-e^(2logx))

    Text Solution

    |

  17. Integrate the following functions w.r.t. x, (cosx)/(sqrt(4-sin^2x))

    Text Solution

    |

  18. Integrate the following functions w.r.t. x, (sin^8-cos^8x)/(1-2sin^2xc...

    Text Solution

    |

  19. Compute the following integrals: int(1)/(cos(x+a)cos(x+b))dx

    Text Solution

    |

  20. Integrate the following functions w.r.t. x, x^3/sqrt(1-x^8)

    Text Solution

    |