Home
Class 12
MATHS
int 1/(sqrt(1 + sin x)) dx =...

`int 1/(sqrt(1 + sin x)) dx `=

A

`sqrt(2) log tan (x//4 + pi//8)`

B

`sqrt(2) log [cosec(x//2 + pi//4) - cos(x//2 + pi//4)]`

C

`sqrt(2) log[sec(x//2 - pi//4) + tan(x//2 - pi//4)]`

D

`sqrt(2)log[sec(x//2 + pi//4) + tan(x//2 - pi//4)]`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    ML KHANNA|Exercise PROBLEM SET (1)(TRUE AND FALSE)|6 Videos

  • INTEGRATION

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|1 Videos

  • INEQUALITIES

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|4 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

Similar Questions

Explore conceptually related problems

int(dx)/(sqrt(1+sin x))

int(sin x)/(sqrt(1+sin x))dx

int(1)/(sqrt(1-sin^(4)x))dx

int sqrt(1-sin x)dx

Evaluate: int(1)/(sqrt(1+sin2x))dx

int sqrt(1-sin 2x) dx

int sqrt(1+sin 2x)dx=

int sqrt(1+sin2x)dx

int sqrt(1+sin2x)dx