" 8."int_(0)^(a)x sqrt(a^(2)-x^(2))dx

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

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

The value of the expression (int_(0)^(a)x^(4)sqrt(a^(2)-x^(2))dx)/(int_(0)^(a)x^(2)sqrt(a^(2)-x^(2))dx)=

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

Evaluate int_(0)^(a) x^(4)sqrt(a^(2)-x^(2))dx

int_(-a)^(a)x^(3)sqrt(a^(2)-x^(2))dx=0

int_(0)^(a)(1)/(x+sqrt(a^(2)-x^(2)))dx

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

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