Home
Class 12
MATHS
(1)/(sin x cos^(3) x)...

`(1)/(sin x cos^(3) x)`

Text Solution

Verified by Experts

Given `1/(sinxcos^3x)`
`=(sin^2x+cos^2x)/(sinxcos^3x)`
`=(sinx)/(cosx^3x)+(1/(sinxcosx))`
`=tanxsec^2x+(1/(cos^2x))/((sinxcosx)/(cos^2x))`
...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|46 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.1|22 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|44 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Evaluate: (i) int sin^4x/cos^8xdx (ii) int1/sqrt(sin^3 x cos^5x)dx

Integrate the following: int{(5cos^3x+2sin^3 x)/(2sin^2 x*cos^2 x)+sqrt(1+sin2x)+(1+2sin x)/(cos^2x)+(1-cos2x)/(1+cos 2x)}dx

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

" Prove that " : int(2 sin x +3 cos x)/(3sin x+4 cos x) dx = (18x)/(25) +(1)/(25)log|3s sin x+ 4cosx|c

If alpha=sin x cos^(3) x and beta=cos x sin^(3) x , then :

Prove that sin^(-1) cos (sin^(-1) x) + cos^(-1) x) = (pi)/(2), |x| le 1

Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x