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[-int(0)^(1)sqrt(1-x)dx],[=(pi)/(2)-1]...

[-int_(0)^(1)sqrt(1-x)dx],[=(pi)/(2)-1]

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

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

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

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^( pi)sqrt(1+sin x)dx

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

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

" (b) "int_(0)^(a)sqrt((a-x)/(a+x))dx=a((pi)/(2)-1)

int_(0)^(pi//2)sqrt(1+cosx)dx