erweitern 0.2707065(1/pi arctan((0.15)/x)+0.5)

Lösung

erweitern

0.2707065 (\frac{1}{π} arctan (\frac{0.15}{x}) + 0.5)

\frac{0.2707065}{π} arctan (\frac{0.15}{x}) + 0.13535325

Schritte zur Lösung

0.2707065 (\frac{1}{π} arctan (\frac{0.15}{x}) + 0.5)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 0.2707065, b = \frac{1}{π} arctan (\frac{0.15}{x}), c = 0.5

= 0.2707065 \cdot \frac{1}{π} arctan (\frac{0.15}{x}) + 0.2707065 \cdot 0.5

Vereinfache

0.2707065 \cdot \frac{1}{π} arctan (\frac{0.15}{x}) + 0.2707065 \cdot 0.5 : \frac{0.2707065}{π} arctan (\frac{0.15}{x}) + 0.13535325

= \frac{0.2707065}{π} arctan (\frac{0.15}{x}) + 0.13535325

e x p an d lo g_{10} (7 x^{3})

e x p an d (k + 1) (k^{2} + k + 1)

e x p an d \frac{- 2 x ^{2} - 2 x + 2}{( x ^{2} + 1 ) ^{2}}

e x p an d 3 (5 - 11)

e x p an d (e^{x} sin (2 x) + 2 e^{x} cos (2 x))^{2}