Home
Class 12
MATHS
int (e^(x^(2)) (2x+x^(3)))/((3+x^(2))^(2...

`int (e^(x^(2)) (2x+x^(3)))/((3+x^(2))^(2))dx` is equal to :

A

`(e^(x^(2)))/((3+x^(2)))+k`

B

`(1)/(2)(e^(x^(2)))/((3+x^(2))^(2))+k`

C

`(1)/(4)(e^(x^(2)))/((3+x^(2))^(2))+k`

D

`(1)/(2)(e^(x^(2)))/((3+x^(2)))+k`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2017

    BITSAT GUIDE|Exercise MATHEMATICS |45 Videos

  • RECTANGULAR COORDINATES AND STRAIGHT LINE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|16 Videos

Similar Questions

Explore conceptually related problems

int(x^2e^(x))/((x+2)^(2))dx is equal to

int e^(x^(4))(x+x^(3)+2x^(5))e^(x^(2))dx is equal to

int x^(3)e^(x^(2))dx is equal to

int(e^((x^(2)+4ln x))-x^(3)e^(x^(2)))/(x-1)dx is equal to

int e^(x^2) x^3 dx

int e^(x)*(x-2)/(x^(3))dx

int(2)/((e^(x)+e^(-x))^(2))dx is equal to

int (x+3)/(x+4)^(2)e^(x)\ dx is equal to

int e^(x)((x^(2)-3)/((x-1)^(2)))dx is equal to

BITSAT GUIDE-QUESTION-PAPERS-2018-MATHEMATICS
  1. If f(x)={(sin x;x rational) (cos x;x is irrational) then the function ...

    Text Solution

    |

  2. If : f(x) {:(=1", ... "0 ltx le (3pi)/4), (= 2 ...

    Text Solution

    |

  3. The value of c in (0, 2) satisfying the mean value theorem for the fun...

    Text Solution

    |

  4. If y=(x)/(x+1)+(x+1)/(x)," then "(d^(2)y)/(dx^(2)) at x=1 is equal to

    Text Solution

    |

  5. If y=e^(2x), then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to

    Text Solution

    |

  6. A ball is dropped from a platform 19.6m high. Its position function is

    Text Solution

    |

  7. The value of the integral int (a)^(b) (sqrt(x)dx)/(sqrt(x)+sqrt(1+b-x...

    Text Solution

    |

  8. int (e^(x^(2)) (2x+x^(3)))/((3+x^(2))^(2))dx is equal to :

    Text Solution

    |

  9. If overset(a)underset(0) int f(2a-x)dx = m and overset(a)underset(0)in...

    Text Solution

    |

  10. An integrating factor of the differential equation sin x (dy)/(dx)...

    Text Solution

    |

  11. The expression satisfying the differential equation (x^(2)-1) (dy)/(dx...

    Text Solution

    |

  12. Let vec a = hati - hat k, vec b =x hati + hatj+ (1-x) hat k and vec c ...

    Text Solution

    |

  13. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

    Text Solution

    |

  14. The projection of line joining (3, 4, 5) and (4, 6, 3) on the line joi...

    Text Solution

    |

  15. Which of the following statements is correct?

    Text Solution

    |

  16. If the constraints in a linear programming problem are changed

    Text Solution

    |

  17. In a binomial distribution, the mean is 4 and variance is 3. Then its ...

    Text Solution

    |

  18. The sum 1+(1+a)/(2!) +(1+a+a^(2))/(3!)+....oo is equal to

    Text Solution

    |

  19. The Boolean expression ~(p vee q) vee (~p wedge q) is equivalent to :

    Text Solution

    |

  20. If in a frequency distribution, the mean and median are 21 and 22 resp...

    Text Solution

    |