`int_(0)^(a)int_(0)^(a^(2)/x)dxdy`

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

int_(0)^(2)x^(2)[x]dx

int_(0)^(2)[x^(2)]dx

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

Property 6: If f(x) is a continuous function defined on [0;2a] then int_(0)^(2)a=int_(0)^(a)f(x)dx+int_(0)^(a)f(2a-x)dx

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

int_(0)^(2a)f(x)dx-int_(0)^(a)f(x)dx=

int_(0)^(2)[2x]dx=

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

int_(0)^(3/2)*(2-x)dx