Home
Class 12
MATHS
int(dx)/((1-cotx))=?...

`int(dx)/((1-cotx))=?`

A

`log|sinx-cosx|+C`

B

`(1)/(2)log|sinx-cosx|+C`

C

`(1)/(2)x-(1)/(2)log|sinx-cosx|+C`

D

`(1)/(2)x+(1)/(2)log|sinx-cosx|+C`

Text Solution

Verified by Experts

The correct Answer is:
D
`I=int(sinx)/((sinx-cosx))dx`, which is the same as
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13C|87 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise EXERCISE 13A SHORT ANSWER QUESTIONS|92 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)(dx)/((1+cotx))=(pi)/(4)

int(1+cotx)/(1-cotx)dx=

Differentiate (sinx)/((1+cotx))

Evaluate: int(1-cotx)/(1+cotx)dx

int_(pi/12)^(pi/2)(dx)/(1+sqrt(cotx))

int(1)/(tanx+cotx)dx=

int(tanx-cotx)^(2)dx=

int ((1-cotx))/((1+cotx))dx.