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

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

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • MOCK TEST-2

    MODERN PUBLICATION|Exercise EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

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^(2pi) (cos^5x)dx

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/4) log(1+tanx) dx

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

By using the properties of definite integrals, evaluate the integral: int_-5^5 |x+2|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_0^pi (x)dx/(1+sinx)

By using the properties of definite integrals, evaluate the integral: int_0^2 xsqrt(2-x)dx

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

MODERN PUBLICATION-MOCK TEST-1-EXERCISE
  1. Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)

    Text Solution

    |

  2. Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]], th...

    Text Solution

    |

  3. Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...

    Text Solution

    |

  4. The funtion f(x) is defined as follows: f(x) = {:{(x^2+ax+b,0lex<2),...

    Text Solution

    |

  5. Evalute : int(5x+3)/sqrt(x^2+4x+10)dx

    Text Solution

    |

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

    Text Solution

    |

  7. Solve: dy/dx+(2x)/(x^2+1)y=1/(x^2+1)^2, y(0)=0.

    Text Solution

    |

  8. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

    Text Solution

    |

  9. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  10. A problem in Mathematics is given the three students whose chances of ...

    Text Solution

    |

  11. A problem in Mathematics is given the three students whose chances of ...

    Text Solution

    |

  12. If A and B are subsets of the universal set U, then show that A⊂ A∪ B...

    Text Solution

    |

  13. Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b ...

    Text Solution

    |

  14. If X= {1, 2, 3}, if n represents any member of X, write the following ...

    Text Solution

    |

  15. Find the area of the smaller region bounded by the ellipse x^2/a^2 + y...

    Text Solution

    |

  16. Simplify : [veca-vecb,vecb-vecc,vecc-veca].

    Text Solution

    |

  17. If veca,vecb,vecc are three vectors such that vecaxxvecb=vecc,vecbxxve...

    Text Solution

    |

  18. Convert the following measurements into mL. 0.75 liters

    Text Solution

    |

  19. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20,...

    Text Solution

    |

  20. Find the variance of the number obtained on a throw of an unbiased die...

    Text Solution

    |