Home
Class 12
MATHS
If int e ^(x ^(2)) (2- (1)/(x ^(2))) dx ...

If `int e ^(x ^(2)) (2- (1)/(x ^(2))) dx = e ^(x ^(2)) f (x)` then `+ C and f ((1)/(2)) = 2`
find f (1): (where C is an arbitrary constant)

A

1

B

`-1`

C

2

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 101

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos

  • NTA TPC JEE MAIN TEST 103

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos

Similar Questions

Explore conceptually related problems

f(x)=int(e^(x^(2))(4x^(2)-1))/(x^((3)/(2)))dx

If inte^(x)(1+x^(2))/((1+x)^(2))dx=e^(x)f(x)+c , then f(x)=

If inte^(x)((1-x)/(1+x^(2)))^(2)dx=e^(x)f(x)+c, then f(x)=

If int(1)/(x^(2)+2x+2)dx=f (x) +C , then f (x)=

For int (x -1)/( (x +1 ) ^(3)) e ^(x) dx = e ^(x) f (x) + c , f (x) =(x +1) ^(2).

If int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c , then f(x)=

int(2x+3)/((x-1)(x^(2)+1))dx=log_(e){(x-1)^((5)/(2))(x^(2)+1)^(a)-(1)/(2)tan^(-1)x+C,x>1 where C is any arbitrary constant,then the value of a'a' is

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 102 -MATHEMATICS
  1. The set of values of p for which the points of extrema of the function...

    Text Solution

    |

  2. If Z (1) ne 0 and Z (2) be two complex numbers such that (Z (2))/( Z...

    Text Solution

    |

  3. The value of lim ( x to oo) ( (1 ^(2) + 1)/( 1 - n ^(3)) + (2 ^(2) +...

    Text Solution

    |

  4. If f (x) = lim ( n to 00) ((x ^(2) + ax + 1) + x ^( 2n) (2x ^(2) + x ...

    Text Solution

    |

  5. If int e ^(x ^(2)) (2- (1)/(x ^(2))) dx = e ^(x ^(2)) f (x) then + C a...

    Text Solution

    |

  6. From any arbitrary point P on the line +y = 4, tangents PA and PB are ...

    Text Solution

    |

  7. The area bounded by the parabola y = 4x ^(2) , x = 0 and y =1 , y =4...

    Text Solution

    |

  8. The solution of the equation tan ^(-1) 2x + tan ^(-1) 3x = (pi)/(4) ...

    Text Solution

    |

  9. Locus of image of point (2, 3) about the line (x + y + 7) + k (x + 2...

    Text Solution

    |

  10. The differential equation ( x dy)/( y dx) + (sin (y) + cos ( x ) lny...

    Text Solution

    |

  11. For natural number n , 2 ^(n) ( n -1)! lt n ^(n), if

    Text Solution

    |

  12. If 2x = y ^((1)/(3)) + y ^((-1)/(3)) and (x ^(2) -1) (d ^(2) y )/( dx...

    Text Solution

    |

  13. Find the number of ways of distributing 11 pencils among 6 kids, each ...

    Text Solution

    |

  14. A function f is defined as f (x) = (1)/(2) (( | sin x |)/( cos x ) +...

    Text Solution

    |

  15. Considerhat a and hatb be two unit vectors such that hat a+ hatb is a...

    Text Solution

    |

  16. Find the value of int (- (pi)/(3)) ^((pi)/(4)) (( x ^(11) - 3x ^(9) ...

    Text Solution

    |

  17. Let pi lt alpha lt (3pi)/(2). Evaluate the expression sqrt ( 4 sin ^...

    Text Solution

    |

  18. Given that 4 cos x cos y = 1 and sin ^(2) x + sin ^(2) y ge (3)/(2) . ...

    Text Solution

    |

  19. If a variable takes values 0, 1, 2, 3, 4, 5 with frequencies 5 (C0),...

    Text Solution

    |

  20. If equations x ^(2) + a x + b = 0( a,b ne R) & x ^(3) + 3x ^(2) + 5x...

    Text Solution

    |