Home
Class 12
MATHS
If n is an odd natural number, then in...

If n is an odd natural number, then
`int_(-pi//6)^(pi//6) (pi+4x^(n))/(-sin(x+(pi)/(6))dx=`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 1|57 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

int_(pi//6)^(pi//2) cos x dx

int_(pi//6)^(pi//3) sin(3x)dx=

int_(-pi/2)^(pi/2) |sin x| dx

int_(-pi//4)^(pi//4) e^(-x)sin x" dx" is

Evaluate int_(pi//6)^(pi//4)cosecxdx

Evaluate: int_(-pi//2)^(pi//2)sin^7x dx

Evaluate : int_(-pi//4)^(pi//4) |sin x|dx

Evaluate int_(pi//6)^(pi//3)(dx)/(1+tan^(n)x)

The value of int_(pi//6)^(pi//3) (1)/( sin 2x) dx is

Evaluate: int_(-pi//2)^(pi//2)sin^2x\ dx

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of the definite integral int0^1(1+e^-x^2)dx (b) 2 1+e^...

    Text Solution

    |

  2. If I=int(-pi)^(pi) (sin^(2))/(1+a^(x))dx, a gt 0, then I equals

    Text Solution

    |

  3. If n is an odd natural number, then int(-pi//6)^(pi//6) (pi+4x^(n))/...

    Text Solution

    |

  4. If I(1)=int(0)^(x) e^("zx ")e^(-z^(2))dz and I(2)=int(0)^(x) e^(-z^(2)...

    Text Solution

    |

  5. int(0)^(1//2) |sin pi x|dx is equal to

    Text Solution

    |

  6. If f(x)=int(0)^(x) log ((1-t)/(1+t)) dt, then discuss whether even or ...

    Text Solution

    |

  7. int(1//3)^(3) (1)/(x)sin ((1)/(x)-x)dx is equal to

    Text Solution

    |

  8. If F(x)=int(x^(2))^(x^(3)) log t dt (x gt 0), then F'(x) equals

    Text Solution

    |

  9. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

    Text Solution

    |

  10. If I=int(0)^(1) (dx)/(1+x^(4)), then

    Text Solution

    |

  11. The value of int(-1)^(1)(x|x|)dx is equal to

    Text Solution

    |

  12. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

    Text Solution

    |

  13. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

    Text Solution

    |

  14. int(ac)^(bc)f(x)dx, where c ne 0, is also equal to :

    Text Solution

    |

  15. (d)/(dx)(int(f(x))^(g(x)) phi(t)dt) is equal to

    Text Solution

    |

  16. If f(x)=ae^(2x)+be^(x)+cx, satisfies the conditions f(0)=-1, f'(log 2)...

    Text Solution

    |

  17. The value of int(0)^(2) | cos ""(pi)/( 2) t|dt is equal to

    Text Solution

    |

  18. If int(0)^(1) cot^(-1)(1-x+x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

    Text Solution

    |

  19. If 0 lt a lt 1, then int(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

    Text Solution

    |

  20. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

    Text Solution

    |