Calculus HELP

S 1/(a²-x²)^1/2dx =

arcsin(x/a) + C

S 1/(a²+x²)^1/2dx =

sinh^-1(x/a) + C

S 1/(x²-a²)^1/2dx =

cosh^-1(x/a) + C

S 1/(a²+x²) dx =

(1/a)arctan(x/a) + C

S 1/(x(x²-a²)^1/2) dx =

(1/a)arcsec|x/a| + C

S 1/(a²-x²) dx =

(1/a)tanh^-1(x/a) OR (1/a)coth^-1(x/a)

d/dx csch^-1x =

-1/(|x|(x²+1)^1/2)

d/dx sech^-1x =

-1/(x(1-x²)^1/2)

d/dx coth^-1x =

1/(1-x²)

(a²-x²)^1/2, x =

asin0

(x²+a²)^1/2, x =

atan0

(x²-a²)^1/2, x =

asec0