Home
Class 12
MATHS
Evaluate the definite integrals int(0...

Evaluate the definite integrals
`int_(0)^((pi)/(2))sin2xtan^(-1)(sinx)dx`

Text Solution

Verified by Experts

The correct Answer is:
`pi/2-1`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT TAMIL|Exercise EXERCISE 7.11|21 Videos

  • DISCRETE MATHEMATICS

    NCERT TAMIL|Exercise Exercise 12.3 (Choose the correct or the most suitable answer from the given four alternatives)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integral int_(0)^((pi)/(4))2sin2xdx

Evaluate the definite integral int_(0)^((pi)/(2))2cos2xdx

Evaluate the definite integrals int_(0)^(pi/2)cos2xdx

Evaluate the definite integral int_(0)^((pi)/(2))2cos^(2)xdx

Evaluate the definite integrals int_(0)^(pi/4)tanxdx

Evaluate the definite integrals int_(0)^(pi/4)sin2xdx

Evaluate the definite integrals int_(0)^(1)xe^(x^(2))dx

Evaluate the definite integrals int_(0)^(pi/2)cos^(2)xdx

Evaluate the definite integral int_(1)^(2)(1)/(x)dx

Evaluate the definite integral int_(1)^(2)e^(x)dx

NCERT TAMIL-INTEGRALS-EXERCISE 7.12
  1. Evaluate the definite integrals int(pi/2)^(pi)e^(x)((1-sinx)/(1-cosx...

    Text Solution

    |

  2. Evaluate the definite integrals int(0)^(pi/4)(sinxcosx)/(cos^(4)x+si...

    Text Solution

    |

  3. Evaluate the definite integrals int(0)^((pi)/(2))(cos^(2)xdx)/(cos^...

    Text Solution

    |

  4. Evaluate the definite integrals int((pi)/(6))^((pi)/(3))(sinx+cosx)...

    Text Solution

    |

  5. Evaluate the definite integrals int(0)^(1)(dx)/(sqrt(1+x)-sqrtx)

    Text Solution

    |

  6. Evaluate the definite integrals int(0)^((pi)/(4))(sinx+cosx)/(9+16s...

    Text Solution

    |

  7. Evaluate the definite integrals int(0)^((pi)/(2))sin2xtan^(-1)(sinx...

    Text Solution

    |

  8. Evaluate the definite integrals int(0)^(pi)(xtanx)/(secx+tanx)dx

    Text Solution

    |

  9. Evaluate the definite integrals int(1)^(4)[abs(x-1)+abs(x-2)+abs(x-3...

    Text Solution

    |

  10. Prove the following int(1)^(3)(dx)/(x^(2)(x+1))=(2)/(3)+"log"(2)/(3)

    Text Solution

    |

  11. Prove the following int(0)^(1)xe^(x)dx=1

    Text Solution

    |

  12. Prove the following int(-1)^(1)x^(17)cos^(4)xdx=0

    Text Solution

    |

  13. Prove the following int(0)^(pi/2)sin^(3)xdx=2/3

    Text Solution

    |

  14. Prove the following int(0)^(pi/4)2tan^(3)xdx=1-log2

    Text Solution

    |

  15. Prove the following int(0)^(1)sin^(-1)xdx=(pi)/(2)-1

    Text Solution

    |

  16. Evaluate int(0)^(1)e^(2-3x)dx as a limit of a sum.

    Text Solution

    |

  17. int(dx)/(e^(x)+e^(-x)) is equal to

    Text Solution

    |

  18. Choose the correct answers int(cos2x)/((sinx+cosx)^(2))dx is equal t...

    Text Solution

    |

  19. Choose the correct answers If f (a + b - x) = f (x), then int(a)^(b)...

    Text Solution

    |

  20. Choose the correct answers The value of int(0)^(1)tan^(-1)((2x-1)/(1...

    Text Solution

    |