Home
Class 12
MATHS
underset( 0)overset( sqrt3) int sin ^(-1...

` underset( 0)overset( sqrt3) int sin ^(-1) ""(2x)/( 1+x^(2)) dx `

लिखित उत्तर

Verified by Experts

The correct Answer is:
` (pi sqrt3)/( 3)`
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. एक सतत वास्तविक फलन f सम्बन्ध f(2x) =3f( x) AA x in R को संतुष्ट करत...

    Text Solution

    |

  2. माना Un = underset( 0)overset((pi)/(2))int sin ^(-1) ""(2x)/( 1+x^(2...

    Text Solution

    |

  3. underset( 0)overset( sqrt3) int sin ^(-1) ""(2x)/( 1+x^(2)) dx

    Text Solution

    |

  4. ( 5050 underset( 0)overset( 1) int (1- x^(50)) ^(100)dx)/( underset(0...

    Text Solution

    |

  5. यदि underset( 0)overset(npi ) int (x | sin x| )/( 1+|cos x|) dx ( n ...

    Text Solution

    |

  6. माना की 1= underset( 0)overset( 1)int (2+ 3x+4x^(2))/( 2sqrt(1+x+x^(2...

    Text Solution

    |

  7. दर्शाये की दोनों समाकलन का योग underset(-4) overset(-5) int e^((x+5)^...

    Text Solution

    |

  8. माना F(x) =max . (sin pix , cos pi x ) है,तो (pi)/(4sqrt2) underset...

    Text Solution

    |

  9. underset( 0)overset( pi//2) int tan ^(-1) [(sqrt(1+sin x)+sqrt( 1-sin...

    Text Solution

    |

  10. underset(-1) overset(1) int ((2x^(332)+x^(998) +4x ^(1668) sin x ^(691...

    Text Solution

    |

  11. माना की I= underset(0) overset( pi//2) int (cos x +4) /( 3 sin x +4...

    Text Solution

    |

  12. माना y= f(x) एक द्विघातीय फलन है जहाँ f'(2) =1 है , तो समाकलन unde...

    Text Solution

    |

  13. माना की f(x)= {:{ ([ -1], if -2 le x le 0 ),( |x-1| , if 0lt xle 2 ...

    Text Solution

    |

  14. फलन f(x) = {:{( underset( 0)overset( x )int (5+ 2|t-1|) dt , x gt 2 ),...

    Text Solution

    |

  15. यदि y= x ^(underset( 1 )overset( x) int lnt dt ) है , तो (dy)/(dx)...

    Text Solution

    |

  16. अचर 'a' (a gt 0 ) एवं 'b ' ज्ञात करों जो इस प्रकार है की underset(...

    Text Solution

    |

  17. underset( x to infty ) Lim (d)/(dx) underset ( 2 sin ""(1)/(x))overse...

    Text Solution

    |

  18. underset( 0 )overset( infty ) int (lnt )/(x^(2) +t^(2)) dt= ( piln 2...

    Text Solution

    |

  19. underset( a to infty ) Lim (underset(0 )overset( a)int sin ^(4) x dx ...

    Text Solution

    |

  20. underset( x to 0 )Lim (underset( 0)overset( 1)int (by +a( 1-y ) )^(x) ...

    Text Solution

    |