Home
Class 12
MATHS
Evaluate: intx/((x+1)(x^2+1))\ dx...

Evaluate: `intx/((x+1)(x^2+1))\ dx`

Text Solution

Verified by Experts

`I= intx/((x+1)(x^2+1))\ dx`
`text {Let } frac{x}{(x+1)(x^{2}+1)}=frac{A}{x+1}+frac{B x+C}{x^{2}+1} `
`Rightarrow frac{x}{(x+1)(x^{2}+1)}=frac{A(x^{2}+1)+(B x+C)(x+1)}{(x+1)(x^{2}+1)} `
`Rightarrow x=A(x^{2}+1)+B x^{2}+B x+C x+C `
`Rightarrow x=(A+B) x^{2}+(B+C) x+(A+C)`
Equating coefficients of like terms
...
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: intx/((x-1)(x^2+4))\ dx

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

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

Evaluate: intx/(x-sqrt(x^2-1))\ dx

Evaluate: intx/((x^2+1)(x+1))dx

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

intx/((x+1)(x+2))dx

Evaluate: intx/e^(x^2)dx

Evaluate: intx/(sqrt(8+x-x^2))\ dx

Evaluate: intx/(x^2+x+1)dx