Home
Class 12
MATHS
Integrate the functions(cosx)/(sqrt(1+si...

Integrate the functions`(cosx)/(sqrt(1+sinx))`

Text Solution

AI Generated Solution

To solve the integral \(\int \frac{\cos x}{\sqrt{1 + \sin x}} \, dx\), we can use a substitution method. Here’s the step-by-step solution: ### Step 1: Choose a substitution Let \( t = 1 + \sin x \). Then, we differentiate \( t \) with respect to \( x \): \[ dt = \cos x \, dx \] This means that \( \cos x \, dx = dt \). ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.4|25 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.8|6 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions x sinx

Integrate the functions (1)/(x-sqrt(x))

Integrate the functions (1)/(sqrt(1+4x^(2)))

Integrate the functions (x cos^(-1)x)/(sqrt(1-x^(2)))

Integrate the functions (x-1)/(sqrt(x^(2)-1))

Integrate the functions sinxsin(cosx)

Integrate the function e^x(sinx+cosx)

Integrate the functions sqrt(1-4x^(2))

Integrate the functions (1)/(sqrt((x-a)(x-b)))

Integrate the functions (1)/(sqrt((2-x)^(2)+1))