Home
Class 12
MATHS
If f(x) = x^2, then /\^2 f(x) is...

If `f(x) = x^2`, then `/_\^2 f(x)` is

A

x + c'

B

2x + c'

C

x/2 + c'

D

`x^2 + c'`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos
  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

f(x)=x^2+a then at x=a , f'(x) is

If f(x)=x^2-2x+1 , then find f(1)

If f(x)=x^2-2x+5 , then find f(1) .

If f(x)=x^2-3x+1 , then find f(-2)

If f(x)=3x^2-x+1 , then find f(-2) .

If f(x) = sec 2x + cosec 2x, then f(x) is discontinuous at all points in

If f(x)=2^x the f(x+3)/ f(x-1) =?

If f(x)=2^(3x^(2)) then f'(x)=

A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=((e^x)^2)/((x+1)),AAx >-1. If f(0)=5, then f(x) is

If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,x ne 0 then f(x) is

PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. The value of the integral int e^(sin^2 x) (cos x + cos^3 x) sin x dx i...

    Text Solution

    |

  2. int xabsx dx =

    Text Solution

    |

  3. If f(x) = x^2, then /\^2 f(x) is

    Text Solution

    |

  4. Integral of sqrt(1 + 2cot x (cot x + cosec x)) w.r.t.x, is

    Text Solution

    |

  5. int (e^(2001x) + e^(1999x))/(e^x + e^-x) dx is

    Text Solution

    |

  6. The primitive of the function f(x) =xabs(cosx), when x in (pi/2, pi) i...

    Text Solution

    |

  7. If int tan^4 x dx = a tan^3 x + b tan x + phi(x) then

    Text Solution

    |

  8. If int sinx/sin(x-alpha) dx = Ax + B log sin(x - alpha) + c

    Text Solution

    |

  9. If int (4e^x + 6e^-x)/(9e^x - 4e^-x) dx = Ax + B loge(9e^(2x) - 4) + c...

    Text Solution

    |

  10. If int x log(1 + x^2) dx = phi(x) log(1 + x^2) + psi(x) + c then

    Text Solution

    |

  11. int dx/((x+1)(x-2)) = A log (x + 1) + B log (x - 2) + c where

    Text Solution

    |

  12. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

    Text Solution

    |

  13. If I = int (sin x + sin^3 x)/(cos 2x) dx = A cos x + B log abs(f(x)) +...

    Text Solution

    |

  14. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

    Text Solution

    |

  15. The value of int0^x (t - abst)^2/(1 + t^2) dt is equal to

    Text Solution

    |

  16. int dx/((x+1)(x+2)) = A log (x + 1) + B log (x +2) + c where

    Text Solution

    |

  17. Let f(x) = 3/( 3x^2 + 9) and g(x)=x^2/( 3x^2 + 9) int (f(x) + g(x)) ...

    Text Solution

    |

  18. Let f(x) = 3/( 3x^2 - 9) and g(x)=x^2/( 3x^2 - 9) int (g(x) - f(x)) ...

    Text Solution

    |

  19. If i(m - 2 , n + 2) = int sin^(m - 2)x cos^(n+2)x dx and I(m,n) = - (s...

    Text Solution

    |

  20. If In = int x sin^n x dx and In = -(x sin^(n-1)x cos x)/n + (sin^n x)/...

    Text Solution

    |