Home
Class 12
MATHS
If the integral I = int x^(sin x)(cos x ...

If the integral `I = int x^(sin x)(cos x cdot 1n x + (sin x)/x)dx, = (f(x))^(g(x)) + c (AA x > 0)` then the range of `y = g(x)` is (where, c is an arbitrary constant)

A

[-1,1]

B

[0,1]

C

[0,1)

D

(-1,1)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 2

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 21

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Integrate int(x-sin x)/(1-cos x)dx

G) int(sin x)/(cos(x-a))dx

The value of the integral int((sin x)/(x))^(6)((x cos x - sin x)/(x^2)) dx is (where , c is an arbitrary constant)

What is int (x cos x + sin x) dx equal to ? Where c is an arbitrary constant

The solution of the differential equation (3x^(2) sin (1/x) + y) dx = x cos (1/x) dx -x dy is (where, c is an arbitrary constant)

If int(x+sin x)/(1+cos x)dx=f(x)tan g(x)+C , then, f(x)=

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

int(x sin x)/(cos^(5)x)dx=g(x)+c find g(x)

If the integral I=int(2x^(2))/(4+x^(2))dx=2x-f(x)+c , where f(2)=pi , then the minimum value of y=f(x)AA x in [-2, 2] is (where, c is the constant of integration)

NTA MOCK TESTS-JEE MOCK TEST 20-MATHEMATICS
  1. If the integral I = int x^(sin x)(cos x cdot 1n x + (sin x)/x)dx, = (f...

    Text Solution

    |

  2. Let P and Q are two points in the xy plane on the curve y = x^(11) - 2...

    Text Solution

    |

  3. If the letters of the word REGULATIONS be arranged at random, find ...

    Text Solution

    |

  4. If the point of intersection of the plane 4x - 5y + 2z - 6 = 0 with th...

    Text Solution

    |

  5. The mean and variance of seven observations are 8 and 16 respectively....

    Text Solution

    |

  6. Let Delta ABC is an isosceles trianlge with AB = AC. If B = (0,a) , C ...

    Text Solution

    |

  7. Let A (0,3) and B(0,12) be two vertices of a Delta ABC where C = (x ,0...

    Text Solution

    |

  8. Consider three statements p : person 'A' passed in mathematics exam ...

    Text Solution

    |

  9. In equation (Z - 1)^(n) = Z^(n) = 1 (AA n in N) has solution, then n c...

    Text Solution

    |

  10. The solution of the differential equation (3x^(2) sin (1/x) + y) dx = ...

    Text Solution

    |

  11. The quadratic equation (1 - sintheta) x^(2)+ 2(1 - sin theta) x - 3 si...

    Text Solution

    |

  12. The minimum value of the expression 3x + 2y (AA x, y >0), where xy^(2)...

    Text Solution

    |

  13. If in the expansion of (1+ x )^(m) (1-x) ^(n) the coefficient of x and...

    Text Solution

    |

  14. Number of words that can be formed with the letters of the word ALGEBR...

    Text Solution

    |

  15. If f(k - x) + f(x) = sin x, then the value of integral I = int(0)^(k) ...

    Text Solution

    |

  16. If the difference between the number of subsets of the sets A and B is...

    Text Solution

    |

  17. For the function f(x) = sin (pi[x]) xx cos^(-1)([x]), choose the corre...

    Text Solution

    |

  18. The value of lim(x to 0) (sinx)/(3) [5/x] is equal to [where [.] rep...

    Text Solution

    |

  19. If y = tan^(-1) (x/(1 + 6x^2)) + tan^(-1) ((2x - 1)/(2x + 1)), (AA x >...

    Text Solution

    |

  20. If |3x - 1| , 3, |x - 3| are the first three terms of an arithmentic p...

    Text Solution

    |