Home
Class 12
MATHS
Find the integralintsqrt(x)(3x^2+2x+3)dx...

Find the integral`intsqrt(x)(3x^2+2x+3)dx`

Text Solution

AI Generated Solution

To solve the integral \(\int \sqrt{x}(3x^2 + 2x + 3) \, dx\), we can follow these steps: ### Step 1: Rewrite the Integral We start by rewriting the integral in a more manageable form: \[ \int \sqrt{x}(3x^2 + 2x + 3) \, dx = \int x^{1/2}(3x^2 + 2x + 3) \, dx \] ...
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

intsqrt(3x-5)dx

Evaluate the integral, intsqrt(x^(2)+2x+6)dx .

intsqrt(3x+2)-1/(x+2)dx

intsqrt(x)/sqrt(a^2-x^3)dx

intsqrt(3x^(2)+4)dx

intsqrt(2x+(1)/(3) dx)

Find the integral (x^(3)-1)/(x^(2))dx

intsqrt(2x-x^(2))dx

I=intsqrt(4x^(2)-4x+3)dx

intsqrt(x^(2)+x)dx