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" 3."int(0)^(a)(x^(4))/(sqrt(a^(2)-x^(2)...

" 3."int_(0)^(a)(x^(4))/(sqrt(a^(2)-x^(2)))dx

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

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

int_(-a)^(a)x^(3)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)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=(pi)/(4)

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

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