erweitern ((sqrt(9+x^2))/5+((6-x))/(10))dx

Lösung

erweitern

(\frac{9 + x ^{2}}{5} + \frac{( 6 - x )}{10}) d x

\frac{d x 9 + x ^{2}}{5} + \frac{3 d x}{5} - \frac{x d x}{10}

Schritte zur Lösung

(\frac{9 + x ^{2}}{5} + \frac{( 6 - x )}{10}) d x

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = d x, b = \frac{9 + x ^{2}}{5}, c = \frac{( 6 - x )}{10}

= d x \frac{9 + x ^{2}}{5} + d x \frac{( 6 - x )}{10}

= d x \frac{9 + x ^{2}}{5} + \frac{( 6 - x )}{10} d x

Vereinfache

d x \frac{9 + x ^{2}}{5} + \frac{( 6 - x )}{10} d x : \frac{d x 9 + x ^{2}}{5} + \frac{3 d x}{5} - \frac{x d x}{10}

= \frac{d x 9 + x ^{2}}{5} + \frac{3 d x}{5} - \frac{x d x}{10}

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