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int(0)^(2)*x sqrt(2-x)dx=(16sqrt(2))/(15...

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

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

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

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

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

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

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

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

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

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

Using properties of definite integral prove that int_0^2 xsqrt(2-x)dx= (16sqrt2)/15