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x^(n+1) / n+1 + c
∫x^ndx
lnx + c
∫dx/x if x>O
ln(-x) + c
∫dx/x if x<0
ln|x| + c
∫dx/x if x not equal to 0
sinx + c
∫cosxdx
-cosx + c
∫sinxdx
tanx + c
∫sec²xdx
-cotx + c
∫csc²xdx
secx + c
∫secxtanxdx
-cscx + c
∫cscxtanxdx
e^x + c
∫e^xdx
a^x / lna + c
∫a^xdx if a>0
Arcsin x/a + c
∫ dx/(a²+u²)
Arctan x/a + c
∫dx /√(a²-u²)