Lösungen/Solutions/E1S1AnUe/Ex14

L=Lektion/Leçon-- Sprechstunde/heures de consultation
W=Work/Arbeit/Travail
A  =Anhang/  Annexe / Appendice

Ueb/Ex 1      W

Integrate[x^5, {x, 0, t}]

Solve[Integrate[x^5, {x, 0, t}] == 10, {t}]

Ueb/Ex 2      W

Integrate[1/(2  x + 1), {x, 4, 6}]

Ueb/Ex 3      W

Integrate[1/(4  x^2 - 1), {x, 2, 4}]

Apart[1/(4  x^2 - 1)]

Integrate[Apart[1/(4  x^2 - 1)], {x, 2, 4}]

Ueb/Ex 4      W

Plot[x^5 Cos[x], {x, -4, 4}];

Integrate[x^5 Cos[x], {x, -4, 4}]

Ueb/Ex 5      W

Plot[x^5 Cos[x], {x, -4, 4}];

Integrate[x^2 Cos[4 x^3  + 5], x]

(1/12) Cos[4 (x^3)] Sin[5] + (1/12) Cos[5] Sin[4 (x^3)] // 
      TrigReduce

Ueb/Ex 6      W

Integrate[Cos[x] E^Sin[x], x]

Integrate[Cos[x] E^Sin[x], {x, 0, Pi}]