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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{u ^{104}}{u ^{176} + 1} + C

Schritte zur Lösung

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

Integral einer Konstanten :

\int a d x = a x

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

Vereinfache

\frac{( ( ( u ^{2} ) ^{2} ) ^{2} ) ^{22}}{( ( ( u ^{2} ) ^{2} ) ^{2} ) ^{22} + 1} (((u^{2})^{2})^{2})^{2} : \frac{u ^{104}}{u ^{176} + 1}

= \frac{u ^{104}}{u ^{176} + 1}

Füge eine Konstante zur Lösung hinzu

= \frac{u ^{104}}{u ^{176} + 1} + C

Graph

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