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" 23."((x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/...

" 23."((x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)sin^(-1)(x)/(a))

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Prove that: (d)/(dx)[(x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)sin^(-1)((x)/(a))]=sqrt(a^(2)-x^(2))

Prove that: (d)/(dx)[(x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)sin^(-1)((x)/(a))]=sqrt(a^(2)-x^(2))

Show that, (d)/(dx) [(x)/(2) sqrt(a^(2)-x^(2)) +(a^(2))/(2) "sin"^(-1) (x)/(a)]=sqrt(a^(2)-x^(2))

Show that (d)/(dx)[(x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)"sin"^(-1)(x)/(a)]=sqrt(a^(2)-x^(2))

Prove that (d)/(dx){(x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)sin^(-1)(x)/(a)}=sqrt(a^(2)-x^(2))

Prove that (d)/(dx){(x)/(2)sqrt(a^(2)-x^(2))+(a^(2))/(2)(sin^(-1)x)/(a)}=sqrt(a^(2)-x^(2))

int sqrt(a^(2)-x^(2))dx=(1)/(2)x sqrt(a^(2)-x^(2))+(1)/(2)a^(2)sin^(-1)((x)/(a))+c

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Prove that d/(dx){x/2sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)}=sqrt(a^2-x^2)