Home
Class 12
MATHS
Ir x in (0 ,(pi)/(2) ) " then " int sqrt...

Ir x `in (0 ,(pi)/(2) ) " then " int sqrt(1 + cos x ) ` dx =

A

`sqrt(2) sin ((x)/(2)) + c `

B

`2 sqrt(2) sin ((x)/(2)) + c `

C

`3 sqrt(2) sin ((x)/(2)) + c `

D

`2 sin ((x)/(2)) + c `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

If x in ( 0 , (pi)/(2)) " then " int sqrt(1 + sin x ) dx =

If x in (pi, 2pi) " then " int sqrt(1 - cos 2 x ) dx =

If x in (0, (pi)/(2)) " then " int sqrt([(sin x - sin^(3) x)/(1 + sin^(3) x) ]) dx =

If x in (-pi//2, pi//2) then int sqrt(1+cos 2x)dx=

If x in ((pi)/(6), (pi)/(3)) " then " int tan^(-1) sqrt((1 - cos 2x)/(1 + cos 2 x)) dx =

If x in (-pi, pi) then int sqrt(1+sin x//2)dx=

If int_(0)^(pi//2) ln (sin x) dx= - pi/2 ln 2 then int_(0)^(pi) ln (1+ cos x) dx=

If int_(0)^(pi//2) sin^(4) x cos^(2)x dx = (pi)/(32) then int_(0)^(pi//2) cos^(4) x sin^(2) x dx=

If int_(0)^(pi//2) sin^(6) x dx = (pi)/(32) then int_(-pi)^(pi) (sin^(6)x + cos^(6) x)dx=

int_(0)^(pi) cos^(3) x dx =