Home
Class 12
MATHS
Integrate : int xsqrt(x+x^2)dx...

Integrate : `int xsqrt(x+x^2)dx`

Text Solution

AI Generated Solution

To solve the integral \( \int x \sqrt{x + x^2} \, dx \), we will follow a systematic approach. ### Step-by-Step Solution: 1. **Rewrite the Integral**: We start with the integral: \[ I = \int x \sqrt{x + x^2} \, dx ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT ENGLISH|Exercise Exercise 7.11|20 Videos
  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.5|23 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

int_0^2 xsqrt(x+2)dx

int xsqrt(x^(4)+9) dx

Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

Evaluate: int xsqrt(1+x-x^2)\ dx

Integrate : int (sqrt( cos 2x))/(sin x)dx

int (1)/(xsqrt(x))dx

Evaluate the integrals. int 2 x sqrt(x) dx

Solve the following integration int sqrt(1-sin 2x)dx

Integrate the functions xsqrt(x+2)

Integrate int e^(-x)dx