Home
Class 12
MATHS
underset( 0 ) overset( 1) int e ^(ln tan...

`underset( 0 ) overset( 1) int e ^(ln tan ^(-1) x) sin ^(-1) (cos x)dx.`

लिखित उत्तर

Verified by Experts

The correct Answer is:
` (pi ^(2))/( 8) - (pi )/(4) (1+ ln 2 ) +(1)/(2)`
Promotional Banner

टॉपर्स ने हल किए ये सवाल

  • INDEFENITE & DEFINITE INTEGRATION

    BANSAL HINDI|Exercise EXERCISE -3 (SECTION -A (JEE ADVANCED Previous Year.s Questions ) )|41 Videos

  • INDEFENITE & DEFINITE INTEGRATION

    BANSAL HINDI|Exercise EXERCISE -3 (SECTION -A (JEE ADVANCED Previous Year.s Questions (DEFINITE INTEGRATION))|10 Videos

  • INDEFENITE & DEFINITE INTEGRATION

    BANSAL HINDI|Exercise EXERCISE -2 (SECTION -A (INDEFINITE INTEGRATION ) ) |32 Videos

  • DETERMINANT & MATRICS

    BANSAL HINDI|Exercise EXERCISE -5 (RANK BOOSTER)|15 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    BANSAL HINDI|Exercise EXERCISE-5 (RANK BOOSTER)|10 Videos
BANSAL HINDI-INDEFENITE & DEFINITE INTEGRATION -EXERCISE -2 (SECTION -B (DEFINITE INTEGRATION ) )
  1. underset( 0 ) overset( 1) int e ^(ln tan ^(-1) x) sin ^(-1) (cos x)dx...

    Text Solution

    |

  2. सिद्ध कीजिए : int (alpha) ^( beta) sqrt(( x - alpha ) ( beta - x)...

    Text Solution

    |

  3. सिद्ध कीजिए : int ( alpha) ^( beta) sqrt(( x - alpha)/( beta - x...

    Text Solution

    |

  4. सिद्ध करों underset(alpha )overset(beta) int (dx)/(xsqrt((x-alpha) ...

    Text Solution

    |

  5. प्रतिस्थापन विधि पर प्रश्न underset(alpha)overset(beta)int (dx)/(sq...

    Text Solution

    |

  6. माना beta (n) =underset( 0)overset( npi )int sqrt( 1-sin t ) dt हो ...

    Text Solution

    |

  7. धनात्मक पूर्णांक nle 5 ज्ञात करों जिसके लिए underset(0)overset(1) in...

    Text Solution

    |

  8. underset( 0)overset( pi//2) int e^(x) {cos (sin x) cos ^(2) ""(x)/(2)...

    Text Solution

    |

  9. underset1 oversete int {(1+x )e^(x) +( 1-x) e^(-x) } ln x dx

    Text Solution

    |

  10. P= underset( 0)overset(infty )int (x^(2))/( 1+x^(4)) dx, Q= underset(...

    Text Solution

    |

  11. P= underset( 0)overset(infty )int (x^(2))/( 1+x^(4)) dx, Q= underset(...

    Text Solution

    |

  12. P= underset( 0)overset(infty )int (x^(2))/( 1+x^(4)) dx, Q= underset(...

    Text Solution

    |

  13. रूपांतरण विधि पर प्रश्न underset(0)overset(pi//2)int sqrt(1 + sin x)...

    Text Solution

    |

  14. यदि निश्चित समाकलन 1= underset(0)overset( 2) int (3x^(2) -3x+ 1) cos ...

    Text Solution

    |

  15. underset( -sqrt2)overset(sqrt2)int (2x^(7) +3x^(6) -10 x ^(5) -7x^(3) ...

    Text Solution

    |

  16. a ge 2 के लिए यदि निश्चित समाकलन underset0 oversetinfty int (dx)/( a...

    Text Solution

    |

  17. underset( -2)overset( 2)int (x^(2)- x)/( sqrt(x^(2) +4)) dx

    Text Solution

    |

  18. u= underset( 0)overset( pi//4) int ((cos x )/( sin x +cos x) ) ^(2)...

    Text Solution

    |

  19. underset( 0)overset( 1) int( sin ^(-1) sqrtx)/( x^(2) - x+1) dx

    Text Solution

    |

  20. underset(1) overset( (1+ sqrt5)/(2))int (x^(2) +1)/( x^(4) -x^(2) +1) ...

    Text Solution

    |