(Siehe Bronstein, Taschenbuch der Mathematik [BSMM08, pp. 445])
Funktion | Integral | |
xn | ∫ xndx = ![]() | n ⇔ -1 |
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sin(x) | ∫ sin(x)dx = - cos(x) | |
cos(x) | ∫ cos(x)dx = sin(x) | |
tan(x) | ∫ tan(x)dx = - ln | cos(x)| | |
cot(x) | ∫ cot(x)dx = ln | sin(x)| | |
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ex | ∫ exdx = ex | |
ax | ∫ axdx = ![]() | |
ln x | ∫ ln xdx = x ln x - x | |
xeax | ∫ xeaxdx = ![]() ![]() | |
Funktion | Integral |
sinh x | ∫ sinh xdx = cosh x |
cosh x | ∫ cosh xdx = sinh x |
tanh x | ∫ tanh xdx = ln | cosh x| |
coth x | ∫ coth xdx = ln | sinh x| |
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