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

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

Text Solution

AI Generated Solution

To evaluate the definite integral \(\int_2^3 \frac{dx}{x^2 - 1}\), we will follow these steps: ### Step 1: Set up the integral Let \( I = \int_2^3 \frac{dx}{x^2 - 1} \). ### Step 2: Factor the denominator Notice that \( x^2 - 1 \) can be factored as: \[ ...
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(xdx)/(x^2+1)

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

Evaluate the definite integrals int_2^3 1/x dx

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 ^2(6x+3)/(x^2+4)dx

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

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

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