Home
Class 12
MATHS
Find the integralint(sqrt(x)-1/(sqrt(x))...

Find the integral`int(sqrt(x)-1/(sqrt(x)))^2dx`

Text Solution

AI Generated Solution

To solve the integral \(\int \left(\sqrt{x} - \frac{1}{\sqrt{x}}\right)^2 dx\), we will follow these steps: ### Step 1: Expand the integrand First, we need to expand the expression inside the integral: \[ \left(\sqrt{x} - \frac{1}{\sqrt{x}}\right)^2 = \left(\sqrt{x}\right)^2 - 2 \cdot \sqrt{x} \cdot \frac{1}{\sqrt{x}} + \left(\frac{1}{\sqrt{x}}\right)^2 \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.8|6 Videos
  • INTEGRALS

    NCERT|Exercise EXERCISE 7.2|39 Videos
  • INTEGRALS

    NCERT|Exercise SOLVED EXAMPLES|46 Videos
  • DIFFERENTIAL EQUATIONS

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

    NCERT|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

Evaluate the integral int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

Evaluate the integral : int(sqrt(x)+(1)/(sqrt(x)))^(2)dx

Find the integral int(1-x)sqrt(x)dx

Evaluate the following integrals. int ( sqrt(x) - (1)/(sqrt(x)))^(2) dx

Evaluate the following integrals: int(3x sqrt(x)+4sqrt(x)+5)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx

Find the value of following integral: int(sqrt(5-x))/(sqrt(x)+sqrt(5)-x)dx

Find the value of the integral int(x+1)/(sqrt(2x-1))dx

Evaluate the following integrals: int((x+1)(x-2))/(sqrt(x))dx

Evaluate the following integrals: int((1+sqrt(x))^(2))/(sqrt(x))backslash dx