diff --git a/11 Homework/Mathe II/Homework 1.pdf b/11 Homework/Mathe II/Homework 1.pdf index cbe640a..5eb1282 100644 Binary files a/11 Homework/Mathe II/Homework 1.pdf and b/11 Homework/Mathe II/Homework 1.pdf differ diff --git a/11 Homework/Mathe II/Homework 1.typ b/11 Homework/Mathe II/Homework 1.typ index 1731069..c2f71da 100644 --- a/11 Homework/Mathe II/Homework 1.typ +++ b/11 Homework/Mathe II/Homework 1.typ @@ -1,29 +1,33 @@ -#let assignment_header(course, index) = { - set page( +#set page( header: align(right, [ #set text(size: 9pt) #set par(leading: .3em) #pad(y: -.5cm, [ - #course \ - Hausaufgabe #index \ + Mathe II \ + Hausaufgabe 01 \ Jan Meyer \ 664237 ]) ]) ) -} -#assignment_header("Mathe II", 1) + == Problem 1 _Stammfunktionen_ -a) -$ integral x^2 exp(x^3) d x = 1/3 exp(x^3) + C $ +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 $ +$ &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 $ +$ &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) $ \ No newline at end of file +$ &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 $