Home
Class 12
MATHS
If int(sinx+sin^3x)/(cos2x)dx=lamdacosx+...

If `int(sinx+sin^3x)/(cos2x)dx=lamdacosx+mulogabs(f(x))+c`, then

A

`lamda=1/2, mu=-1/2, f(x)=(sqrt2cosx+1)/(sqrt2cosx-1)`

B

`lamda=1/2, mu=-3/(4sqrt2), f(x)=(sqrt2cosx-1)/(sqrt2cosx+1)`

C

`lamda=1/2, mu=-3/sqrt2, f(x)=(sqrt2cosx+1)/(sqrt2cosx-1)`

D

`lamda=1/2, mu=-3/(4sqrt2), f(x)=(sqrt2cosx+1)/(sqrt2cosx-1)`

Text Solution

Verified by Experts

The correct Answer is:
B, 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

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

int sin x sin (cos x)dx

If I=int (sin x + sin^(3)x)/(cos 2x) dx= A cos x + B log |f(x) |+c , then-

int{(2 - 3sinx)/cos^2x} dx

int sinx/(sin x - cosx) dx

int dx/(sin2x-sinx)

int e^(x)(2-sin2x)/(1-cos2x)dx

Evaluate: int(sinx)/(cos2x)\ dx

int (sinx dx)/(sin 3 x)

int sin^(3) x cos^(2) x dx

PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. If intxlog(1+x^2)dx=A(x)cdotlog(1+x^2)+B(x)+c, then

    Text Solution

    |

  2. int(dx)/(sinx+sqrt3cosx)

    Text Solution

    |

  3. If int(sinx+sin^3x)/(cos2x)dx=lamdacosx+mulogabs(f(x))+c, then

    Text Solution

    |

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

    Text Solution

    |

  5. If intsin(logx)dx=f(x)(sing(x)-cosh(x))+c, then

    Text Solution

    |

  6. If int sin^-1sqrt(x/(1+x))dx=f(x) sin^-1sqrt(x/(1+x))-sqrtx+ (hog)(x)+...

    Text Solution

    |

  7. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  8. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  9. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

    Text Solution

    |

  10. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

    Text Solution

    |

  11. Match List-I with List-II

    Text Solution

    |

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

    Text Solution

    |

  13. If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x))...

    Text Solution

    |

  14. If int((cos8x-cos7x)/(1+2cos5x))dx=(sin3x)/a-(sin2x)/b+c then the last...

    Text Solution

    |

  15. If int(1+cos8x)/(tan2x- cot2x)dx= acos8x +c, then find the value of a.

    Text Solution

    |

  16. If int(x+(cos^-1 3x)^2)/sqrt(1-9x^2)dx=Asqrt(1-9x^2)+B(cos^-1 3x)^3+C,...

    Text Solution

    |

  17. If int(sinx^8-cosx^8)/(1-2sinx^2cosx^2)dx= asin2x +c, then find the va...

    Text Solution

    |

  18. Evaluate int(dx)/((2x-x^2)^(3//2))

    Text Solution

    |

  19. Evaluateintsqrt(cos2x)/sinx dx

    Text Solution

    |

  20. Evaluateint(dx)/(cosx+cosecx)

    Text Solution

    |