Home
Class 12
MATHS
Evaluate the definite integralsint2^ 3(...

Evaluate the definite integrals`int_2^ 3(xdx)/(x^2+1)`

Text Solution

Verified by Experts

`I=int_2^3(dx)/(x^2-1)`
=>`int(dx)/(x^2-1)=1/2log|\(x-1)/(x+1)|=F(x)`
By second fundamental theorem of calculus, we obtain
`I=F(3)-F(2)`
...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.6|24 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.10|10 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT ENGLISH|Exercise EXERCISE 9.1|12 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integrals int_2^3(dx)/(x^2-1)

Evaluate the definite integrals int_2^3 1/x dx

Evaluate the definite integrals int_0^1 (dx)/(1-x^2)

Evaluate the definite integrals int-1 1(x+1)dx

Evaluate the definite integrals int4 5e^xdx

Evaluate the definite integrals int_(4)^(5)e^xdx

Evaluate the definite integrals int_0^1(2x+3)/(5x^2+1)dx

Evaluate the definite integrals int_0^1(2x+3"")/(5x^2+1)dx

Evaluate the definite integrals int_0^2(6x+3)/(x^2+4)dx

Evaluate the definite integrals int_0^1x e^(x^2)dx