Home
Class 12
MATHS
If In=int cot^n dc and I0+I1+2(I2+.........

If `I_n=int cot^n dc and I_0+I_1+2(I_2+.......+I_8)+I_9+I_10=A(u+(u^2)/2+........+(u^9)/9)+` constant where `u=cot x` then

A

A=1

B

A=-1

C

A=1/2

D

A=-1/2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( NUMERICAL ANSWER TYPE QUESTION )|15 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS|35 Videos

  • INDEFINITE INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTION ))|35 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS |3 Videos

Similar Questions

Explore conceptually related problems

If I_(n)=int cot^(n)dc and I_(0)+I_(1)+2(I_(2)+......+I_(8))+I_(9)=A(u+(u^(2))/(2)+......+(u^(9))/(9)) constant where u=cot x then

If I_(n)=int cot^(n) x dx , then I_(0)+I_(1)+2(I_(2)+I_(3)+...+I_(8))+I_(9)+I_(10) equals to (where u=cot x )

If I_(n)=int tan^(n)xdx then I_(0)+I_(1)+2(I_(2)+......+I_(8))+I_(9)+I_(10)= (a) (tan x)/(1)+(tan^(2)x)/(2)+....+(tan^(9)x)/(9), (b) -((tan x)/(1)+(tan^(2)x)/(2)+......+(tan^(9)x)/(9)) (c) (cot x)/(1)+(cot^(2)x)/(2)+......+(cot^(9)x)/(9) (d) -((cot x)/(1)+(cot^(2)x)/(2)+......+(cot^(9)x)/(9))

If I_(n)=int_(0)^((pi)/(4))sec^(n)dx then I_(10)-(8)/(9)I_(8)=

If (I-A)^(-1)=I+A+A^(2)+....+A^(7) then A^(n)=0, where n is

MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))
  1. Let f be a continuous function satisfying f (x+y) = f (x) + f (y), for...

    Text Solution

    |

  2. The value of int(dx)/(4sqrt((x-1)^(3)(x+2^(2)))) is

    Text Solution

    |

  3. int(cos4x-1)/(cotx-tanx)dx is equal to

    Text Solution

    |

  4. If f(x) = lim(n->oo)(x^n-x^(-n))/(x^n+x^(-n)), x >1 then int(xf(x)l...

    Text Solution

    |

  5. The value of int sin 3sqrt(x) dx is

    Text Solution

    |

  6. Let f(x) be a function satisfying f'(x) = f(x) and f(0) = 2. Then int(...

    Text Solution

    |

  7. If int(f(x))/(x^(2)-x+1)dx=(3)/(2)log(x^(2)-x+1)+(1)/(sqrt(3))tan^(-1)...

    Text Solution

    |

  8. If the antiderivative of (1)/(x^(2)sqrt(1+x^(2))) is -sqrt(f(x))/(x)+C...

    Text Solution

    |

  9. intdx/cos^3xsqrt(sin2x)

    Text Solution

    |

  10. If f(x) = sqrt(x),g(x) = e^(x) - 1 and h(x) = tan^(-1)x then the antid...

    Text Solution

    |

  11. If f(x) = sqrt(4x^(2)+4x-3) then int(x+3)/(f(x))dx is equal

    Text Solution

    |

  12. If f (x) = (1+sqrt(2cosx))/(1-sqrt(2)cosx)andg(x)=tan""(x)/(2)andh(x)=...

    Text Solution

    |

  13. If f(x) = sqrt(x^(2)+4)"then" int(f(x))/(x^(6))dx is equal to

    Text Solution

    |

  14. If f(x) = cos x an g (x) = sin x then inta(logf(x))/((f(x))^(2))dx

    Text Solution

    |

  15. If f (x) = cos x then int(2(f(x))^(2)-1)(4(f(x))^(3)-3 f (x)) dx is eq...

    Text Solution

    |

  16. If In=int cot^n dc and I0+I1+2(I2+.......+I8)+I9+I10=A(u+(u^2)/2+........

    Text Solution

    |

  17. f(x) = int (dx)/(sin^(4)x) is a

    Text Solution

    |

  18. If f(x) = sqrt(x^(2)-a^(2))"then" int(x^(2))/(f(x))dx is

    Text Solution

    |

  19. Let f(x)=x/((1+x^n)^(1/ n)) for ngeq2 and g(x)=(f(ofo ...of)(x) Then ...

    Text Solution

    |

  20. If intf(x)dx=phi(x)i.e.phi is a function such that phi'(x) = f(x), the...

    Text Solution

    |