Home
Class 12
MATHS
int (sin2x) dx/(1+sin^4x)...

`int (sin2x) dx/(1+sin^4x)`

Text Solution

Verified by Experts

`int (sin2x) dx/(1+sin^4x)`
`int (2sinxcosx) dx/(1+(sin^2x)^2)`
`sin^2x=t` and `2sinxcosx dx=dt`
`=int dt/(1+t^2)`
`=tan^(-1)t+C`
`=tan^(-1)sin^2x+C`
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

int (dx)/(1-sin^4x)

int (sin 2x)/(1+sin^2x)dx=

int (sin 2x)/(sin 4x) dx

int (sin 2x)/(3 sin^(4) x-4 sin^(2) x+1) dx

I= int ( sin 2 x)/( 1+ sin^(2) x) dx .

int(sin2x)/(1+sin^(2)x)dx=

int(sin2x )/(1+sin^(2)x)dx

int(sin2x sin3x sin4x)dx

int(sin4x)/(1+sin^(4)2x)dx=