Home
Class 12
MATHS
If int(k)/(sin(x-a)sin(x-b))dx=log[(sin(...

If `int(k)/(sin(x-a)sin(x-b))dx=log[(sin(x-a))/(sin(x-b))]+c,` then `k=`

A

`sin(a-b)`

B

`cos(a-b)`

C

`sin(a+b)`

D

`cos(a-b)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS(PART - B : Mastering The BEST)|327 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

int(sin(x-a)dx)/cos(x-b)

Evaluate: int(1)/(sin(x-a)sin(x-b))dx

Knowledge Check

  • If int(k)/(sin(x-a)cos(x-b))dx=log[(sin(x-a))/(cos(x-b))]+c , then k=

    A
    `sin(a-b)`
    B
    `cos(a-b)`
    C
    `tan(a-b)`
    D
    `sec(a-b)`

  • int(dx)/(sin(x+a)sin(x+b))=

    A
    `(1)/(cos(b-a))log|sin(x+a)/sin(x+b)|+c`
    B
    `(1)/(cos(b-a))log|sin(x+b)/sin(x+a)|+c`
    C
    `(1)/(sin(b-a))log|sin(x+b)/sin(x+a)|+c`
    D
    `(1)/(sin(b-a))log|sin(x+a)/sin(x+b)|+c`

  • int(dx)/(cos(x-a)sin(x-b))=

    A
    `(1)/(cos(b-a))log|cos(x-a)/sin(x-b)|+c`
    B
    `(1)/(cos(b-a))log|sin(x-b)/cos(x-a)|+c`
    C
    `(1)/(sin(b-a))log|cos(x-a)/sin(x-b)|+c`
    D
    `(1)/(sin(b-a))log|sin(x-b)/cos(x-a)|+c`

    • Similar Questions

    Explore conceptually related problems

    Evaluate: int(1)/(sin(x-a)sin(x-b))dx

    int(cos(x-a))/(sin(x+b))dx

    int (dx)/(sin(x-a)sin(x-b)) is

    int(sin(x+a))/(cos(x-b))dx=

    int(cos(x-a))/(sin(x+b))dx=

    Home
    Profile