Home
Class 12
MATHS
Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If...

Let `d/(dx)F(x)=((e^(sinx))/x),x > 0.` If `int_1^4 3/x e^sin x^3dx=F(k)-F(1),` then one of the possible values of `k ,` is: 15 (b) 16 (c) 63 (d) 64

A

64

B

15

C

16

D

63

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 1|57 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DEFINITE INTEGRALS

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

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int_1^4 3/x e^sin (x^3)dx=F(k)-F(1), then one of the possible values of k , is: (a) 15 (b) 16 (c) 63 (d) 64

Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0 , If int_(1)^(4) (3)/(x) e^(sin x^(3))dx=F(k)-F(1) , then one of the possible value of k is -

Let d/(dx) (F(x))= e^(sinx)/x, x>0 . If int_1^4 2e^sin(x^2)/x dx = F(k)-F(1) , then possible value of k is:

Let f(x)= {(((xsinx+2cos2x)/(2))^((1)/(x^(2))),,,,xne0),(e^(-K//2),,,,x=0):} if f(x) is continous at x=0 then the value of k is (a) 1 (b) 2 (c) 3 (d) 4

Let f(x)=x+2|x+1|+x-1|dotIff(x)=k has exactly one real solution, then the value of k is 3 (b) 0 (c) 1 (d) 2

If f(x)=1+1/x int_1^x f(t)dt , then the value of f(e^(-1)) is (a) 1 (b) 0 (c) -1 (d) none of these

If f(x)=x+1 , then write the value of d/(dx)(fof)(x) .

If d/dx (ϕ(x))=f(x) , then int_(1)^(2) f(x) dx is ______

Let f(x)=x+2|x+1|+2|x-1|dot If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b) 0 (c) 1 (d) 2

If f(x)=(e^x)/(1+e^x), I_1=int_(f(-a))^(f(a))xg(x(1-x)dx and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx , then the value of (I_2)/(I_1) is (a) -1 (b) -2 (c) 2 (d) 1

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. Evaluate the following integral: int0^(pi//4)(s in x+cosx)/(3+s in2x)d...

    Text Solution

    |

  2. The value of the integral int(0)^(pi//4) (sin theta+cos theta)/(9+16 s...

    Text Solution

    |

  3. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin x^3dx=F(k)-F...

    Text Solution

    |

  4. If I=int(-1)^(1)([x^(2)]+log((2+x)/(2-x)))dx where [x] denotes the gre...

    Text Solution

    |

  5. The value of int(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal t...

    Text Solution

    |

  6. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

    Text Solution

    |

  7. The value of I=int(0)^(pi//2) (1)/(1+cosx)dx is

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. The value of integral underset(a)overset(b)int(|x|)/(x)dx, a lt b is :

    Text Solution

    |

  10. The value of the integral int(0)^(2pi)(sin2 theta)/(a-b cos theta)d ...

    Text Solution

    |

  11. The value of the integral I=int(0)^(1)x(1-x)^(n)dx is equal to

    Text Solution

    |

  12. The value of the integral int(0)^(3alpha) cosec (x-alpha)cosec(x-2al...

    Text Solution

    |

  13. The value of the integral int(0)^(pi)(sin 2k x)/(sin x)dx, where k in...

    Text Solution

    |

  14. The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to si...

    Text Solution

    |

  15. The greater value of F(x)=int(1)^(x) |t|dt on the interval [-1//2,1//2...

    Text Solution

    |

  16. The value of the integral int(0)^(pi//2) |sin x-cos x|dx, is

    Text Solution

    |

  17. The value of the integral int(-pi//4)^(pi//4) sin^(-4)x dx, is

    Text Solution

    |

  18. The value of the integral I=int(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))...

    Text Solution

    |

  19. int(0)^(1) |sin 2pi x|dx id equal to

    Text Solution

    |

  20. Evaluate: int(-pi)^pi(cosa x+s in b x)^2dx

    Text Solution

    |