Home
Class 12
MATHS
Evaluate: int (sec ^(2) x)/(cosec ^(2) x...

Evaluate:` int (sec ^(2) x)/(cosec ^(2) x) dx `

Text Solution

Verified by Experts

`int (sec^(2)x)/("cosec"^(2) x)dx = int (sin ^(2)x)/(cos^(2) x)dx`
`=int tan^(2) xdx= int (sec^(2) x-1) dx`
`= int sec^(2) xdx - int 1.dx`
` = tan x-x +c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.2|39 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.3|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7s|19 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

Evaluate int sec^(3)x dx .

Evaluate intsec ^(2) x * cosec^(2) x dx

int (sec^2x)/(cosec^2x) dx

Evaluate int "cosec"^(4)x dx

int sec^(2)x / cosc^(2) x dx

Evaluate: int(sec^(2)x)/(1+tanx)dx

Evaluate: int(secx)/(sec2x)dx

Evaluate: int(sec^2x)/(tanx+2)dx

Evaluate: int(sec^2x)/(3+tanx)dx

Evaluate: int cosec^(4)((x)/(2))dx