Home
Class 12
MATHS
Evaluate int(0)^(pi/2)(sqrt(sinx))/(sqrt...

Evaluate `int_(0)^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/4`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION XII)|1 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES|5 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION X)|4 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(pi//2) (sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx

Evaluate int_(0)^(pi//2) (sqrt(sin x))/(sqrt(sin x)+sqrt(cos x))dx

Evaluate int_(0)^(pi/2)sqrt(cosx)/(sqrt(cosx)+sqrt(sinx))dx .

Show that : int_(0)^(pi/2)sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx=pi/4 .

Evaluate int_(0)^(pi//2)(sinx)/(sinx)dx

int_(0)^(pi/2)sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx is equal to ……

Evaluate the following integrals: underset(0)overset(pi//2)int(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

int_0^(pi/2) sqrt(sinx)/(sqrtsinx+sqrtcosx)dx is equal to :

By using the properties of definite integrals, evaluate the integral: int_0^(pi/2) (sqrt sinx)/(sqrtsinx+sqrtcosx)dx

Evaluate int_(0)^(pi/2) sinx dx

Home
Profile