Home
Class 12
MATHS
int (2x+3)/((2x+1)(1-3x))dx=...

`int (2x+3)/((2x+1)(1-3x))dx=`

A

`(2)/(5)log|2x+1|-(11)/(15)log|1-3x|+c`

B

`(2)/(5)log|2x+1|-(11)/(15)log|1+3x|+c`

C

`(2)/(3)log|2x-1|+(11)/(15)log|1-3x|+c`

D

`(2)/(5)log|2x+1|-(21)/(5)log|1+3x|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|109 Videos
  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-1)|4 Videos
  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|164 Videos
  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

int (x+3)/((x-1) (x^(2)-1))dx

int (3x+1)/((x-1)^(2)(x+3))dx=

int (1)/((2x - 3)(3x - 2)) dx =

int(3x+1)/((x+1)^(2)(x+3))dx

int_(2)^(3) (2x)/(1+x^(2))dx

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

Evaluate the integerals. int(x-1)/((x-2)(x-3))dx

Evalute the following integrals int (3x - 2)/((x - 1)(x +2)(x-3)) dx

If int ((2x+3))/(x(x+1)(x+2)(x+3)+1)dx =-1/(px^(2)+qx+r)+c then (3p-q)/r=