Home
Class 12
MATHS
Evaluate int((sinx+cosx)dx)/(sqrt(3+sin2...

Evaluate `int((sinx+cosx)dx)/(sqrt(3+sin2x)).`

Text Solution

Verified by Experts

`int((sinx+cosx)dx)/(sqrt(3+sin2x))=int((sinx+cosx)dx)/sqrt(4-(sinx-cosx)^(2))`
`=int(dt)/(sqrt(4-t^(2))) " " ("Putting " sinx-cosx=t)`
`="sin"^(-1)(t)/(2)+c`
`="sin"^(-1)(sinx-cosx)/(2)+c`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise EXAMPLE|18 Videos

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 7.1|9 Videos

  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise COMPREHENSION TYPE|2 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE PUBLICATION|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int1/(1+sinx+cosx)dx

Evaluate int(dx)/(sinx+cosx).

Find : int(sinx+cosx)/(sqrt(sin2x))dx

Evaluate: int1/(sinx-sin2x)dx

Evaluate: int(sinx)/(sin4x)dx

Evaluate: int ((sinx+cos x)dx)/(sin(x-a))

Evaluate: int(x-sinx)/(1-cosx)dx

Evaluate: int (cos x-sinx )/sqrt(sin 2x)dx

Evaluate: int1/(sqrt(3)sinx+cosx)dx

Evaluate: int(sinx)/(2+sin2x)dx