Home
Class 12
MATHS
Evaluate: int(x^3+5x^2+4x+1)/(x^2)\ dx...

Evaluate: `int(x^3+5x^2+4x+1)/(x^2)\ dx`

Text Solution

AI Generated Solution

To evaluate the integral \(\int \frac{x^3 + 5x^2 + 4x + 1}{x^2} \, dx\), we can simplify the integrand by dividing each term in the numerator by \(x^2\). ### Step-by-step Solution: 1. **Simplify the integrand**: \[ \frac{x^3 + 5x^2 + 4x + 1}{x^2} = \frac{x^3}{x^2} + \frac{5x^2}{x^2} + \frac{4x}{x^2} + \frac{1}{x^2} \] ...
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

int (x^3 + 5x^2 - 4)/(x^3) dx

int (x^(3) +5x^(2) -4)/(x^(2)) dx

Evaluate: int(x^2+5x+3)/(x^2+3x+2)\ dx

Evaluate int (3x^2-4x+5)dx

Evaluate: int(x^3)/(x^4+x^2+1)\ dx

int (x^3+5x^2+4)/x^2 dx=

Evaluate: "int(x^(4)-1)/(x^(2)+5)dx

Evaluate : int ( ( 5x + 1 )/( x^2 + 4 ) ) dx

Evaluate: int sqrt(3x^(2)+4x+1)dx

Evaluate: int(5x^2+20 x+6)/(x^3+2x^2+x)\ dx