Aufgabe 72

(∫_1^b)(Sqrt[ (x^2) - 1]) \[DifferentialD]x

Aufgabe 73

A = ∫(E^(α x)) 
          Cos[β x] \[DifferentialD]x

B = ∫(E^(α x)) 
          Sin[β x] \[DifferentialD]x

(∫_0^∞) (E^(α x)) 
        Cos[β x] \[DifferentialD]x

(∫_0^∞) (E^(α x)) 
        Sin[β x] \[DifferentialD]x

Aufgabe 74

(∫_(-∞)^∞) (E^(-(x^2))) \[DifferentialD]x

Aufgabe 75

r = ((1 + x + (x^2) + (x^3))/((x^4) + 5  (x^2)))

Apart[r]

∫r \[DifferentialD]x

Aufgabe 76

Series[(E^x), {x, 0, 10}]

Series[Cos[x], {x, 0, 10}]

Series[Sin[x], {x, 0, 10}]

Aufgabe 77

A = {{1, 1, 2, 0}, {2, 1, 3, 1}, {1, 1, 0, 1}}

A . {{(Subscript[p, 1])}, {(Subscript[p, 2])}, {(Subscript[p, 3])}, {(Subscript[p, 4])}}

B = {{3, 0, 4}, {4, 2, 0}}

B . A

{{(Subscript[b, 1])}, {(Subscript[b, 2])}} == B . A . {{(Subscript[p, 1])}, {(Subscript[p, 2])}, {(Subscript[p, 3])}, {(Subscript[p, 4])}}