Home
Class 12
MATHS
Evaluate the following : int(0)^(pi//...

Evaluate the following :
`int_(0)^(pi//2)(1)/(1+cos x)dx.`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int_{0}^{\frac{\pi}{2}} \frac{1}{1 + \cos x} \, dx, \] we can use a trigonometric identity to simplify the integrand. ...
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice|66 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 14.2 PROPERTIES OF DEFINITE INTEGRALS|4 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : int_(0)^(pi//2)(1)/(5+4 cos x)dx

int_(0)^(pi//2)(1)/(2+cos x)dx=

int_(0)^(pi/2)(1)/(6-cos x)dx

int_(0)^(pi//2) (1)/(4+3 cos x)dx

int_(0)^(pi//4) (1)/(1+cos 2x)dx

Evaluate the following : int_(0)^(pi//2)sqrt(1- cos x)dx

int_(0)^(pi//2)(1)/(5+4cos x)dx=

int_(0)^(pi/2)(x)/(1+cos x)dx =

int_(0)^(pi) (1)/(5+2 cos x)dx

int_(0)^(pi//2) (dx)/(1+2 cos x)