Home
Class 12
MATHS
int 1/(sin^4x+sin^2xcos^2x+cos^4x) dx...

`int 1/(sin^4x+sin^2xcos^2x+cos^4x)` dx

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt3)tan^(-1)((t^(2)-1)/(sqrt3t))+c(1)/(sqrt3)tan^(-1)((tan^(2)x-1)/(sqrt3tanx))+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (SHORT TYPE ANSWER TYPE QUESTIONS - I)|7 Videos

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (VERY TYPE ANSWER TYPE QUESTIONS - II)|2 Videos

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise INDEFINITE INTEGRALS (SHORT ANSWER TYPE QUESTIONS - II)|68 Videos

  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - II|43 Videos

Similar Questions

Explore conceptually related problems

int sin^4 x dx =

If f(x) = (sin^4x+cos^2x)/(sin^2x+cos^4x) for x in R , then f(2013)=

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

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

int(dx)/(sin^2 x cos^2x)

int e^(sin^(2)x). sin 2x dx =

int (sinx . cos x)/(sin^(4)x + cos^(4)x) dx =

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

int (2-3 sin x)/(cos^2 x) dx .

in (sin^(2)x)/(1+cos x) dx=