Home
Class 12
MATHS
If f(x)=ae^(2x)+be^(x)+c x satisfies the...

If f(x)`=ae^(2x)+be^(x)+c x` satisfies the conditions f(0)=-1, f'(log 2)=31, `int_(0)^(log4) (f(x)-cx)dx=(39)/(2)`, then

A

a=5,b=-6, c=-7

B

a=5,b=6, c=7

C

a=-5,b=6, c=-7

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos

  • DEFINITE INTEGRALS

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

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

If f(x)=ae^(2x)+be^(x)+cx satisfies the condition f(0)=ae^(2x)+be^(x)+cx satisfies the condition f(0)=-1, f'(log2)=31,int_(0)^(log4)(f(x)-cx)dx=(39)/(2) , then

If f(x)=ae^(2x)+be^x+cx satisfies the conditions f(0)=-1, f\'log(2)=28, int_0^(log4) [f(x)-cx]dx=39/2 , then (A) a=5, b=6, c=3 (B) a=5, b=-6, c=0 (C) a=-5, b=6, c=3 (D) none of these

If f(x)=pe^(2x)+qe^(x)+rx satisfies the condition f(0)=-1,f'(In2)=31 and int_(0)^(In4)(f(x)-rx)dx=(39)/(2) ,then the value of (p+q+r) is equal to

Let f(x)=ae^(2x)+be^x+cx , where f(0)=-1, f'(log_e2)=21 and int_0^(log_e4)(f(x)-cx)dx=39/2 then the value of abs(a+b+c) is__________

If f(x)=Ax^(2)+Bx satisfies the conditions f'(1)=8 and int_(0)^(1)f(x)dx=(8)/(3), then

int(f'(x))/(f(x)log{f(x)})dx=

If f(x)+f(2-x)=0 , then int_(0)^(2)(1)/(1+2^(f(x)))dx=

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. Assuming that f is everywhere continuous, (1)/(c )int(ac)^(bc)f((x)/(c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The value of int(0)^(2) |cos((pix)/(2))| is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. f(x)=|{:(sec x,cos x,,sec^(2) x+cosecx cot x),(cos^(2) x,cos^(2) x,,co...

    Text Solution

    |

  9. If a is a fixed real number such that f(a-x)+f(a+x)=0, then int(0)^(2a...

    Text Solution

    |

  10. The value of int(0)^(1) log((4+3 sin x)/(4+3 cos x))dx, is

    Text Solution

    |

  11. The value of int(0)^(1) tan^(-1)((2x-1)/(1+x-x^(2)))dx is

    Text Solution

    |

  12. The value of int(0)^(2pi) |cos x -sin x|dxis

    Text Solution

    |

  13. If I(1)=int(0)^(1) 2^(x^(2)) dx, I(2)=int(0)^(1) 2^(x^(3)) dx, I(3)=in...

    Text Solution

    |

  14. Consider the integrals I(1)=int(0)^(1)e^(-x)cos^(2)xdx,I(2)=int(0)^(...

    Text Solution

    |

  15. If f(x)=f(a+b-x) for all x in[a,b] and int(a)^(b) xf(x) dx=k int(a)^(b...

    Text Solution

    |

  16. To find the numberical value of int(-2)^(2) (px^(3)+qx+8)dx it is nece...

    Text Solution

    |

  17. Let f:R to R be continuous functions. Then the value of the integral i...

    Text Solution

    |

  18. The value of int(-1//2)^(1//2) |xcos((pix)/(2))|dx is

    Text Solution

    |

  19. The value of the integral int(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

    Text Solution

    |

  20. The value of int(pi//2)^0 (1)/(9 cosx+12 sinx)dx is

    Text Solution

    |