" 21."int(0)^(a)(1)/(x+sqrt(a^(2)-x^(2))...

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

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

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

If a gt 0 , then : int_(-a)^(a)(1)/(sqrt(a^(2)-x^(2)))dx=

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

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

int_(0)^(1)x sqrt(1-x^(2))dx

int_(0)^(2)(1)/(sqrt(x))dx

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

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

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