Home
Class 12
MATHS
If linear function f(x) and g(x) satisfy...

If linear function `f(x)` and `g(x)` satisfy `int[(3x-1)cosx+(1-2x)sinx]dx=f(x)cos x + g(x) sin x+C`, then

A

`f(x)=3(x-1)`

B

`f(x)=3x-5`

C

`g(x)=3(x-1)`

D

`g(x)=3+x`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2015

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If linear function f(x) and g(x) satisfy int[(3x-1) cos x + (1-2x)sinx]dx = f(x) cos + g(x) sin x + C , then

If int cosex 2x dx = f(g(x)) + c , then

int (cos x - sin x)/(cosx + sinx) (2+2 sin 2x) dx =

If int e^(x) ((1-sinx)/(1-cos x)) dx = f(x) + c then f(x) =

If g is the inverse function of f and f'(x) = sin x then g'(x) =

inte^(x)[(sinx+cosx)/(1-sin^(2)x)]dx is

If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x) and g(x) + g(a - x) = a , then int_0^a f(x). g(x) dx is equal to :

int sinx/(cos x (1+cos x)) dx = f(x) + c implies f(x) =

int f(x) dx = g(x) , then int f(x)g(x) dx =

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2014-MATHEMATICS
  1. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

    Text Solution

    |

  2. If f(x)=f(pi + e - x) and int(e)^(pi)f(x)dx=(2)/(e + pi), then int(e)^...

    Text Solution

    |

  3. If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...

    Text Solution

    |

  4. The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...

    Text Solution

    |

  5. int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

    Text Solution

    |

  6. Let S be the set of all real numbers. A relation R has been defined on...

    Text Solution

    |

  7. For any two real numbers, an operation ** defined by a**b=1+ab is

    Text Solution

    |

  8. Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" ...

    Text Solution

    |

  9. Suppose f(x)=(x+1)^(2) for x ge -1. If g(x) is a function whose graph ...

    Text Solution

    |

  10. The domain of the function f(x)=sqrt(cos x) is

    Text Solution

    |

  11. In a class of 60 students, 25 students play cricket and 20 students pl...

    Text Solution

    |

  12. Given 0 le x le 1/2 then the value of tan[sin^(-1){(x)/(sqrt(2))+(s...

    Text Solution

    |

  13. The value of sin(2 sin^(-1)0.8) is equal to

    Text Solution

    |

  14. If A is 3xx4 matrix and B is a matrix such that A'B and BA' are both d...

    Text Solution

    |

  15. The symmetric part of the matrix A=[(1,2,4),(6,8,2),(2,-2,7)] is

    Text Solution

    |

  16. If A is a matrix of order 3, such that A (adj A) = 10 I, then |adj A...

    Text Solution

    |

  17. Consider the following statements : (i) If any two rows or columns ...

    Text Solution

    |

  18. The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |

  19. If a, b and c are in A.P., then the value of |(x+2,x+3,x+a),(x+4,x+5,...

    Text Solution

    |

  20. The local minimum value of the function f' given by f(x)=3+|x|, x in R...

    Text Solution

    |