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

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

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

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

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

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

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

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