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        Mathe II \
        Hausaufgabe 01 \
        Jan Meyer \
        664237
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== Problem 1 _Stammfunktionen_
a) $ &integral x^2 exp(x^3) d x = 1/3 exp(x^3) + C $

b)
$ &integral ln(x^2)/x^2 d x = -(2 ln(x) + 2)/x + C $

c)
$ &integral 1/2 (sin(2x) + 1) d x = 1/4 (-cos(2x) + 2x) + C $


== Problem 2 _Integrale und Stammfuntionen_
a)
$ &integral (2x^2 - 3x + 4) / x d x = x^2 - 3x + 4 ln abs(x) + C $

b)
$ &integral (2 cos(x)) / (1 + sin(x)) d x = 2 ln abs(1 + sin(x)) + C $

c)
$ &integral exp(2x) sqrt(1 + exp(2x)) d x = 1/3(1 + exp(2x))^(3/2) + C $