`int_0^2 xsqrt(x+2)dx`

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Using properties of definite integrals, prove the following: int_0^2 xsqrt(2-x) dx=16/15 sqrt2

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

int_0^2 int_0^sqrt(4+x^2) (dx dy)/(4+x^2+y^2) =

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Find the integral: int_0^sqrt(2) dx/(xsqrt(x^2 - 1))