x^n
x ^ (n+ 1) / n+1
x ^ α
x ^ (α + 1) / α + 1
1/x
ln [ x ]
a ^ x
a ^ x / lna
sin x
cos x
cos x
tg x
ctg x
ln ( sin x )
dx / x^2 - a^2
1/2a x ln [ x-a/x+a ]
dx / x^2+ a ^2
1/a x arctg (x/a)
dx/ √(a^2 - x^2)
arcsin (x/a)
dx / √(x^2 + a^2)
ln [ x + √(x^2 + a^2 ) ]
dx/ √(x^2 - a^2)
ln [ x + √(x^2 - a^2) ]
1/ cos^2 x
tg x
1/ sin^2 x
ctg x