The value of int((x-2)dx)/{(x-2)^(2)(x+3...

The value of `int((x-2)dx)/{(x-2)^(2)(x+3)^(7)}^(1//3)` is

`(3)/(20)((x-2)/(x+3))^(4//3)+c`

`(3)/(20)((x-2)/(x+3))^(3//4)`

`(5)/(12)((x-2)/(x+3))^(4//3)+c`

`(3)/(20)((x-2)/(x+3))+c`

Verified by Experts

The correct Answer is:

INDEFINITE INTEGRALS
MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|10 Videos
DIFFERENTIAL EQUATIONS
MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

The value of int_(1)^(3)(dx)/(x(1+x^(2))) is

`1/2log(9/5)`

`1/2 log(5/9)`

`1/2 log(4/9)`

`1/2log(9/4)`

`(x^(8))/((1-x^(2))^(4))+C`

`(1)/(8)(x^(8))/((1-x^(2))^(4))+C`

`(1)/(8)(x^(4))/((1-x^(2))^(4))+C`

none of these

`(2)/(3)(x+(1)/(x))^(3//2)+C`

`(2)/(5)(x+(1)/(x))^(5//2)+C`

`2(x+(1)/(x))^(1//2)+C`

none of these