Home
Class 12
MATHS
int(dx)/( sin^(2)x cos^(2)x) is equal to...

`int(dx)/( sin^(2)x cos^(2)x)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
b
` int (dx)/(sin^(2) x cos^(2)x)= int (sin^(2) x+cos ^(2) x)/(sin^(2) x cos^(2) x)dx`
`= int (sin^(2)x)/(sin^(2) x cos^(2)x) dx+ int (cos^(2)x)/(sin^(2) x cos ^(2) x)dx`
` = int sec^(2) x dx + int " cosec"^(2) x dc`
` = tan x - cot x+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.3|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.4|25 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.1|22 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

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

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

l=int(sin2x)/(8sin^(2)x+17cos^(2)x)dx is equal to

int _(-pi)^(pi) (sin^(4)x)/(sin^(2) x + cos^(4) x )dx is equal to

The value of int_(0)^(2 pi)(sin^(2)x-cos^(4)x)dx is equal to pi/k then k

int ( sin^(6) x + cos ^(6) x + 3 sin ^(2) x cos ^(2) x ) dx is equal to

int(sin2x)/(a^(2)-cos^(2)x)dx

int(1)/(sin(x-a)cos(x-b))dx is equal to

int ( sin^(4) x - cos ^(4) x ) dx is equal to

The value of int(cos^(3)x)/(sin^(2)x+sinx)dx is equal to