Home
Class 12
MATHS
If int tan^4 x dx = a tan^3 x + b tan x ...

If `int tan^4 x dx = a tan^3 x + b tan x + phi(x)` then

A

a = 1/3

B

b = 1

C

`phi(x) = x + c `

D

b = -1

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

int tan x tan 2x tan 3x dx

int tan 2x tan 3 x tan 5x dx

int 1/(1-tan^2x)dx

If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x)) + c , then the value of sqrt(a^4 + b^5) must be

int ("tan"x)/(1 + tan x )dx

int (tan x + cot x) dx

int (1+tan x )/(1-tan x)dx

int (tan x - tan alpha)/(tan x+tan alpha)dx

int dx/(1+tan x)

Show that tan 3x tan 2x tan x = tan 3x - tan 2x - tan x

PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. int (e^(2001x) + e^(1999x))/(e^x + e^-x) dx is

    Text Solution

    |

  2. The primitive of the function f(x) =xabs(cosx), when x in (pi/2, pi) i...

    Text Solution

    |

  3. If int tan^4 x dx = a tan^3 x + b tan x + phi(x) then

    Text Solution

    |

  4. If int sinx/sin(x-alpha) dx = Ax + B log sin(x - alpha) + c

    Text Solution

    |

  5. If int (4e^x + 6e^-x)/(9e^x - 4e^-x) dx = Ax + B loge(9e^(2x) - 4) + c...

    Text Solution

    |

  6. If int x log(1 + x^2) dx = phi(x) log(1 + x^2) + psi(x) + c then

    Text Solution

    |

  7. int dx/((x+1)(x-2)) = A log (x + 1) + B log (x - 2) + c where

    Text Solution

    |

  8. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

    Text Solution

    |

  9. If I = int (sin x + sin^3 x)/(cos 2x) dx = A cos x + B log abs(f(x)) +...

    Text Solution

    |

  10. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

    Text Solution

    |

  11. The value of int0^x (t - abst)^2/(1 + t^2) dt is equal to

    Text Solution

    |

  12. int dx/((x+1)(x+2)) = A log (x + 1) + B log (x +2) + c where

    Text Solution

    |

  13. Let f(x) = 3/( 3x^2 + 9) and g(x)=x^2/( 3x^2 + 9) int (f(x) + g(x)) ...

    Text Solution

    |

  14. Let f(x) = 3/( 3x^2 - 9) and g(x)=x^2/( 3x^2 - 9) int (g(x) - f(x)) ...

    Text Solution

    |

  15. If i(m - 2 , n + 2) = int sin^(m - 2)x cos^(n+2)x dx and I(m,n) = - (s...

    Text Solution

    |

  16. If In = int x sin^n x dx and In = -(x sin^(n-1)x cos x)/n + (sin^n x)/...

    Text Solution

    |

  17. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  18. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  19. If int xdx/sqrt(7x - 10 - x^2)^3 = (lambda(7x - 20))/sqrt(7x - 10 - x^...

    Text Solution

    |

  20. If int dx/(1 + sin x) = tan(x/2 + a) + b then the value of -(16a)/pi m...

    Text Solution

    |