Home
Class 12
MATHS
int(ac)^(bc)f(x)dx, where c ne 0, is als...

`int_(ac)^(bc)f(x)dx`, where `c ne 0`, is also equal to :

A

`(1)/(c )overset(b)underset(a)intf(x)dx`

B

`overset(b)underset(a)intf(x)dx`

C

`coverset(b)underset(a)intf(x)dx`

D

`coverset(bc^(2))underset(ac^(2))intf(x)dx`

Text Solution

Verified by Experts

The correct Answer is:
B
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

int_(0)^(a)f(x)dx

int_(m)^(0)f(x)dx is

int_(a+c)^(b+c) f(x) dx is equal to

Prove that int_a^bf(x)dx=int_(a+c)^(b+c)f(x-c)dx , and when f(x) is odd function, int_(-a)^af(x)dx=0

If f(pi)=2 and int_(0)^(pi)(f(x)+f''(x))sin x dx=5 , then f(0) is equal to ( it is given that f(x) is continuous in [0,pi] )

(1)/(c )int_(ac)^(bc)f((x)/(c ))dx=

int_(0)^(infty)f(x+(1)/(x)) (ln x )/(x)dx is equal to:

If int (e^x-1)/(e^x+1)dx=f(x)+C, then f(x) is equal to

If f(a+b+1-x)=f(x) , for all x where a and b are fixed positive real numbers, the (1)/(a+b) int_(a)^(b) x(f(x)+f(x+1) dx is equal to :

Let a gt 0 and f(x) is monotonic increase such that f(0)=0 and f(a)=b, "then " int_(0)^(a) f(x) dx +int_(0)^(b) f^(-1) (x) dx is equal to

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

    Text Solution

    |

  2. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

    Text Solution

    |

  3. int(ac)^(bc)f(x)dx, where c ne 0, is also equal to :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The value of int(0)^(2) | cos ""(pi)/( 2) t|dt is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The value of int(0)^(pi/2) log((4+3 sin x)/(4+3 cos x))dx, is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

  18. Let f: Rveca n dg: RvecR be continuous function. Then the value of the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |