int_(0)^(2)x sqrt(x+2)dx

int_(0)^(2)x sqrt(2-x)dx=16(sqrt(2))/(15)

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

int_(0)^(2) sqrt(2-x)dx .

int_(0)^(2) sqrt(2-x)dx .

I=int_(0)^(2)x sqrt(4-x^(2))dx

Show that int_(0)^(a)x(a-x)^(n)dx=(a^(n+2))/((n+1)(n+2)) . Hence find int_(0)^(2) x sqrt(2- x )dx

Which of the following are true: I : int_(0)^(4) sqrt(x^(2)-4x +4)dx=4 II : int_(0)^(2) sqrt(x^(2)-4x+4)dx=2 III : int_(2)^(4) sqrt(x^(2)-4x+4)dx=2

int_(0)^(1)x sqrt(x^(2)+2)dx

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

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