Home
Class 12
MATHS
Evaluate: int(sin^8x-cos^8x)/(1-2sin^2xc...

Evaluate: `int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int \frac{\sin^8 x - \cos^8 x}{1 - 2 \sin^2 x \cos^2 x} \, dx, \] we can follow these steps: ...
Doubtnut Promotions Banner Mobile Dark
|

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(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=

Find int(sin^3x+cos^3x)/(sin^2xcos^2x)dx .

Knowledge Check

  • int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx is equal to

    A
    `sin2X+C`
    B
    `-1/2sin2x+C`
    C
    `1/2sin2x+C`
    D
    `-sin2x+C`

  • int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx=

    A
    `tanx+cotx+c`
    B
    `tanx+cosecx+c`
    C
    `-tanx+cotx+c`
    D
    `tanx+secx+c`

  • If int(sin^(8)x-cos^(8)x)/(1-2sin^(2)xcos^(2)x)dx=A sin 2x+B, then A =

    A
    `-(1)/(2)`
    B
    `(1)/(2)`
    C
    `-1`
    D
    1

    • Similar Questions

    Explore conceptually related problems

    Evaluate: int(sin x cos x)/(3sin^(2)x-4cos^(2)x)dx

    If int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=asin2x+C , then a= -1//2 (b) 1//2 (c) -1 (d) 1

    If int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=a sin2x+C then a=

    int (sin^8x-cos^8 x)/(1-2 sin^2 x cos ^2 x) dx is equal to

    int(sin2xcos2x)/(sin^(4)2x+cos^(4)2x)dx=

    Home
    Profile