Home
Class 12
MATHS
int (3x+4)/(x^(2)+2x+3)dx=...

`int (3x+4)/(x^(2)+2x+3)dx=`

A

`(3)/(2)log|x^(2)+2x+3|+(1)/(sqrt(2))Tan^(-1)((x+1)/(sqrt(2)))+c`

B

`(3)/(2)log|x^(2)-2x-3|+(1)/(sqrt(2))Tan^(-1)((x+1)/(sqrt(2)))+c`

C

`(3)/(2)log|x^(2)+2x+3|-(1)/(sqrt(2))Tan^(-1)((x-1)/(sqrt(2)))+c`

D

none

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 e^(x)(x^(2)+2x+3)dx=

Evaluate the following integrals. int(3x+1)/(2x^(2)-2x+3)dx

int(dx)/(4x^(2)+3)

int 2^(3x)3^(2x) 5^(x)dx=

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

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

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