Home
Class 12
MATHS
int(dx)/(cosx+sqrt3 sinx)dx is equal to...

`int(dx)/(cosx+sqrt3 sinx)dx` is equal to

A

`1/2logtan(x/2+pi/12)+C`

B

`1/2logtan(x/2-pi/12)+C`

C

`logtan(x/2+pi/12)+C`

D

`logtan(x/2-pi/12)+C`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|6 Videos
  • INDEFINITE INTEGRATION

    MOTION|Exercise EXERCISE - 3 (COMPREHENSION)|2 Videos
  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

Similar Questions

Explore conceptually related problems

The value of int(sinx-cosx)/(sqrt(sin2x)dx is equal to

int(dx)/(3-cosx-3sinx)=

Knowledge Check

  • int (dx)/(cosx+sqrt3 "sin" x) is equal to

    A
    `1/2"log tan"(x/2 + pi/12)+C`
    B
    `1/2"log tan"(x/2 - pi/12)+C`
    C
    `"log tan"(x/2 + pi/12)+C`
    D
    `"log tan"(x/2 - pi/12)+C`
  • int(cosx)/(sqrt(1+sinx))dx is equal to

    A
    `sin.(x)/(2)-cos.(x)/(2)+C`
    B
    `sin.(x)/(2)+cos.(x)/(2)+C`
    C
    `2[sin.(x)/(2)-cos.(x)/(2)]+C`
    D
    `2[sin.(x)/(2)+cos.(x)/(2)]+C`
  • int(1)/(cosx-sinx)dx is equal to

    A
    `(1)/(sqrt(2))log|tan((x)/(2)+(3pi)/(8))|+C`
    B
    `(1)/(sqrt(2))log|"cot"(x)/(2)|+C`
    C
    `(1)/(sqrt(2))log|tan((x)/(2)-(3pi)/(8))|+C`
    D
    `(1)/(sqrt(2))log|tan((x)/(2)-(pi)/(8))|+C`
  • Similar Questions

    Explore conceptually related problems

    int(dx)/(sinx+sqrt3.cosx)=

    int(dx)/(sinx-cosx+sqrt2) is equal to

    The value of the int(sinx+cosx)/(3+sin2x)dx is equal to

    int_(0)^(pi//4)(cosx-sinx)dx+int_(pi//4)^(5pi//4)(sinx-cosx)dx+int_(2pi)^(pi//4)(cosx-sinx)dx is equal to

    int tan^(-1)((cosx-sin x)/(cosx+sinx))dx is equal to