Home
Class 12
MATHS
int{1+2 tan x(tanx+sec x)}^((1)/(2))dx=....

`int{1+2 tan x(tanx+sec x)}^((1)/(2))dx=....`

A

`log (secx+tanx)+c`

B

`log(secx+tan x)^((1)/(2))+c`

C

`log secx (sec x+tanx)+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-A)|6 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER-7 (SECTION-B)|4 Videos
  • INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Objective Type Questions)|15 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 2 (SECTION - D)|2 Videos

Similar Questions

Explore conceptually related problems

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

int (secx+ tan x)^(2)dx=...

int (5(x^(6)+1))/(x^(2)+1)dx=....

Method of integration by parts : int (x tan^(-1)x)/((1+x^(2))^((3)/(2)))dx=.....

int(x^(6)-1)/(x^(2)+1)dx=....+c

Integration using rigonometric identities : int tanx*sec^(2)x sqrt(1-tan^(2)x)dx=....

int(sec 2x-1)/(sec 2x+1)dx=....+c

int sqrt(1+x^(2))dx=....

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

int tan^(-1)(sqrt(x))dx=....