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Beliebt Rechnen >

integral of t^2-cos(2pi)t

Lösung

\int t^{2} - cos (2 π) t d t

Lösung

\frac{t ^{3}}{3} - \frac{t ^{2}}{2} + C

Schritte zur Lösung

\int t^{2} - cos (2 π) t d t

cos (2 π) t = t

= \int t^{2} - t d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int t^{2} d t - \int t d t

\int t^{2} d t = \frac{t ^{3}}{3}

\int t d t = \frac{t ^{2}}{2}

= \frac{t ^{3}}{3} - \frac{t ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{t ^{3}}{3} - \frac{t ^{2}}{2} + C

Graph

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