Home
Class 12
MATHS
xsqrt(x+2)...

`xsqrt(x+2)`

Text Solution

AI Generated Solution

To solve the integral \( \int x \sqrt{x + 2} \, dx \), we will follow these steps: ### Step 1: Substitution Let \( t = x + 2 \). Then, we have: \[ dx = dt \quad \text{and} \quad x = t - 2 \] ...
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.3|24 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.4|25 Videos

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7.1|22 Videos

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

Solve the equation (1-x^2)((dy)/(dx))+2x y=xsqrt(1-x^2)

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

Integrate the functions xsqrt(1+2x^2)

int_(0)^(2) xsqrt(2-x)dx

If f(x)=2xsqrt(1-x^(2)) , then show that f(sin""(x)/(2))=sinx .

Draw the graph of y=sin^(-1)(2xsqrt(1-x^(2)))

Differentiate sin^(-1)(2xsqrt(1-x^2)),

Prove 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x if 1/(sqrt(2)) < x < 1