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

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

Text Solution

Verified by Experts

We have given,
`int1/(a^2-b^2x^2)dx`
Now take `b^{2}`as common from the equation
`frac{1}{b^{2}} int frac{1}{(frac{a^{2}}{b^{2}})-x^{2}} d x `
`=frac{1}{b^{2}} int frac{1}{(frac{a^{2}}{b^{2}})-x^{2}} d x`
`=frac{1}{b^{2}} int frac{1}{(frac{a}{b})^{2}-x^{2}} d x`
On integrating equation we get
`int frac{1}{a^{2}-x^{2}} d x`
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

Evaluate int 1/(x-2)^2dx

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

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

Evaluate: int(1)/(a^(2)sin^(2)x+b^(2)cos^(2)x)dx

Evaluate: int1/(1+3sin^2x)\ dx

Evaluate: int1/(sqrt(1+x^2))dx