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Beliebt Rechnen >

integral of (3x^2-2x+1)(x^3-x^2+x)^4

Lösung

\int (3 x^{2} - 2 x + 1) (x^{3} - x^{2} + x)^{4} d x

Lösung

\frac{( x ^{3} - x ^{2} + x ) ^{5}}{5} + C

Schritte zur Lösung

\int (3 x^{2} - 2 x + 1) (x^{3} - x^{2} + x)^{4} d x

Wende U-Substitution an

= \int u^{4} d u

Wende die Potenzregel an

= \frac{u ^{5}}{5}

Setze in

u = x^{3} - x^{2} + x

ein

= \frac{( x ^{3} - x ^{2} + x ) ^{5}}{5}

Füge eine Konstante zur Lösung hinzu

= \frac{( x ^{3} - x ^{2} + x ) ^{5}}{5} + C

Graph

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