Home
Class 12
MATHS
int(dx)/((2-3x))=?...

`int(dx)/((2-3x))=?`

A

`-3log|2-3x|+C`

B

`-(1)/(3)log|2-3x|+C`

C

`-log|2-3x|+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Put `(2-3x)=t and-3dx=dt`.
`:." "I=-(1)/(3)int(1)/(3)dt=-(1)/(3)log|t|+C=-(1)/(3)log|2-3x|+C`.
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(dx)/(2-3cos2x)

int(dx)/(3x^(2)+7)

int(dx)/(x^((2)/(3))+x^((4)/(3)))

int(dx)/(x^((2)/(3))+x^((4)/(3)))

int(dx)/(2x^2+3x+5)=

The integral int(dx)/(sqrt(2-3x-x^(2))) is equal to

int(dx)/((3-2x-x^(2)))=?

The value of int(dx)/((x+2)(x+3))

Evaluate I=int(dx)/((2x-3)^(1//3)) .