Home
Class 12
MATHS
Evaluate: int((sin^2x)/(cos^(14)x))^(1/3...

Evaluate: `int((sin^2x)/(cos^(14)x))^(1/3)dx`

Text Solution

Verified by Experts

Given,
`f(x)=int ((sin^2x)/(cos^(14)x))^(1/3) dx`
`f(x)=int sin^(2/3)​xcos^(−14)/3​xdx`
`f(x)=int sin^(2/3)​xcos^(−14)/3​cos^4xsec^4xxdx`
`f(x)=int (sin^(2/3)x)/(cos^(2/3)x) sec^4x dx` ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(sin^(2)x)/(cos^(14)x)3dx

Evaluate: int(1-sin x)/(cos^(2)x)dx

Evaluate: int(dx)/(sin x(3+cos^(2)x)

Evaluate: "int(sin^(2)x)/(1+cos x)dx

Evaluate: int(1)/(sin x cos^(3)x)dx

Evaluate: int(1)/(sin x cos^(2)x)dx

Evaluate: int(1)/(sin^(2)x cos^(2)x)dx

Evaluate: int(1-sin x)/(x+cos x)dx

Evaluate: int(x-sin x)/(1-cos x)dx

Evaluate: int(x+sin x)/(1+cos x)dx