Home
Class 12
MATHS
Evaluate: (i) int1/(a^2-b^2\ x^2)\ dx (i...

Evaluate: (i) `int1/(a^2-b^2\ x^2)\ dx` (ii) `int1/(a^2\ x^2-b^2)\ dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2 ab) log |(ax-b)/(ax+b)| +c`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7k|27 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7l|16 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7i|8 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

Evaluate: (i) int(1)/(a^(2)-b^(2)x^(2))dx (ii) int(1)/(a^(2)x^(2)-b^(2))dx

Evaluate: int(1)/(a^(2)-b^(2)x^(2))dx

Evaluate: (i) int1/(x^2+6x+13)\ dx

Evaluate: (i) int1/(4x^2+12 x+5)\ dx (ii) int1/(x^2-10 x+34)\ dx

Evaluate: int1/(3+2x-x^2)\ dx

Evaluate: (i) int1/(sqrt((2-x)^2-1))\ dx (ii) int(x^4+1)/(x^2+1)\ dx

Evaluate: (i) int1/(sqrt(x(1-2x)))\ dx (ii) int1/(sqrt(2x^2+3x-2))\ dx

Evaluate: int1/(x^(2)-x-2)dx

Evaluate: (i) 1/(1+x-x^2)\ dx (ii) int1/(2x^2-x-1)\ dx

Evaluate: int1/(sqrt(2x-x^2))\ dx