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Beliebt Rechnen >

integral of 1/(1+(x^2)^{22)}x^2)^2

Lösung

\int \frac{1}{1 + ( ( ( x ^{2} ) ^{2} ) ^{2} ) ^{22}} d (((x^{2})^{2})^{2})^{2}

Lösung

\frac{x ^{16}}{x ^{176} + 1} + C

Schritte zur Lösung

\int \frac{1}{1 + ( ( ( x ^{2} ) ^{2} ) ^{2} ) ^{22}} d (((x^{2})^{2})^{2})^{2}

Integral einer Konstanten :

\int a d x = a x

= \frac{1}{( ( ( x ^{2} ) ^{2} ) ^{2} ) ^{22} + 1} (((x^{2})^{2})^{2})^{2}

Vereinfache

\frac{1}{( ( ( x ^{2} ) ^{2} ) ^{2} ) ^{22} + 1} (((x^{2})^{2})^{2})^{2} : \frac{x ^{16}}{x ^{176} + 1}

= \frac{x ^{16}}{x ^{176} + 1}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{16}}{x ^{176} + 1} + C

Graph

Beliebte Beispiele

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\int \frac{3 x}{x ^{2} - 5} d x

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\int \frac{1}{( x ^{2} + 1 ) ^{\frac{1}{2}}} d x

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