Home
Class 12
MATHS
Evaluate the integralsint0^2xsqrt(x+2)...

Evaluate the integrals`int_0^2xsqrt(x+2)`

Text Solution

Verified by Experts

Given `int_0^2xsqrt(x+2)`.......(1)
Put `x+2=t^2=>x=t^2-2`
`=>dx=2tdt`
When `x` varies from `0` to `2` then `t` varies from `sqrt2` to `2`
...
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.7|14 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.5|23 Videos

  • INTEGRALS

    NCERT|Exercise EXERCISE 7.6|24 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

int_0^2 xsqrt(x+2)dx

By using the properties of definite integrals, evaluate the integrals int_(0)^(2)x sqrt(2-x)dx

Evaluate the integrals int_(0)^(2)(dx)/(x+4-x^(2))

Evaluate the integrals int_(0)^(1)(x)/(x^(2)+1)dx

Evaluate the integral int_(-1)^(1)(x)/(sqrt(1-x^(2)))sin^(-1)(2xsqrt(1-x^(2)))dx .

Evaluate the integral l=int_(0)^(2)|1-x| d x .

Evaluate the integral I = int_(0)^(2) |1-x| dx

Evaluate the integral I=int_(0)^(2)|x-1|dx .

Evaluate the following integral: int_0^asqrt(a^2-x^2)dx

Evaluate the following integral: int_0^2x\ sqrt(2-x)\ dx