Home
Class 12
MATHS
If f(x) =int x^(m-1)dx then f^(m-1) x=0 ...

If `f(x) =int x^(m-1)dx` then `f^(m-1) x=0` where a) m is a negative integer (b) m=0 c) m is not an integer (d) m is a positive integer

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=int x^(m-1)dx then f^(m-1)x=0 where a) m is a negative integer (b)m=0c)m is not an integer (d) m is a positive integer

If f(x)=root(n)(x^(m)),n in N, is an even function, then m is even integer (b) odd integer any integer (d)f(x)- even is not possible

Integration of sin^(m)x cos^(n)x(m+n) is negative integer

State True or False : x^(m)+x^(m)=x^(2m) , where x is a non zero rational number and m is a positive integer.

x^(m)-:y^(m)=(x-:y)^(m) , where x and y are non zero rational numbers and m is a positive integer.

n|sin x|=m|cos|in[0,2 pi] where n>m and are positive integers

If x be any integer different from zero and m be any positive integer. x^(-m) is equal to

Proof that the square of any positive integer is of the form of 4m or 4m+1 for some integer m.

Every odd integer is of the form 2m-1 where m is an integer (True/false).

If (x-a)^(2m)(x-b)^(2n+1), where m and n are positive integers and a>b, is the derivative of a function f then-

RESONANCE DPP-JEE MAINS-All Questions
  1. If y=x+e^x , find (d^2x)/(dy^2) .

    Text Solution

    |

  2. Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is ...

    Text Solution

    |

  3. If f(x) =int x^(m-1)dx then f^(m-1) x=0 where a) m is a negative int...

    Text Solution

    |

  4. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

    Text Solution

    |

  5. The minimum value of the function f(x)=x^(3//2)+x^(-3//2)-4(x+1/x) ...

    Text Solution

    |

  6. Show that ("lim")(nvecoo)(1/(n+1)+1/(n+2)++1/(6n))=log6

    Text Solution

    |

  7. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

    Text Solution

    |

  8. From the point (15,12), three normals are drawn to the three co-normal...

    Text Solution

    |

  9. The maximum area of the triangle formed by the complex coordinates z,...

    Text Solution

    |

  10. Let (6sqrt(6)+14)^(2n+1)=R, if R be the fractional part of R, then pro...

    Text Solution

    |

  11. The range of the function f(x) = sqrt(4 - x^2) + sqrt(x^2 - 1) is

    Text Solution

    |

  12. Prove that: cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca...

    Text Solution

    |

  13. The number of different quadrilaterals that can be formed by using the...

    Text Solution

    |

  14. Let f(x)=(x^2-11x+18)/(x^2-7x+12) Match List-I with List-II and sele...

    Text Solution

    |

  15. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

    Text Solution

    |

  16. If f(x) = {(px + q, :x le 2),(x^2 - 5x + 6, : 2 < x < 3),(ax^2 + bx + ...

    Text Solution

    |

  17. If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [...

    Text Solution

    |

  18. Find the standard deviation for the following data: (i) x : , 3, 8, 13...

    Text Solution

    |

  19. f(x)=[2x]sin3pixa n df^(prime)(k^(prime))=lambdakpi(-1)^k (where [.] d...

    Text Solution

    |

  20. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pai...

    Text Solution

    |