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Beliebt Rechnen >

integral of t-sin(t)

Lösung

\int t - sin (t) d t

Lösung

\frac{t ^{2}}{2} + cos (t) + C

Schritte zur Lösung

\int t - sin (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 d t - \int sin (t) d t

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

\int sin (t) d t = - cos (t)

= \frac{t ^{2}}{2} - (- cos (t))

Vereinfache

= \frac{t ^{2}}{2} + cos (t)

Füge eine Konstante zur Lösung hinzu

= \frac{t ^{2}}{2} + cos (t) + C

Graph

Beliebte Beispiele

derivative of (e^{-x}dx)

\frac{d}{d x} ((e^{- x}) d x)

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\frac{d}{d x} (- e^{- 1})

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x \to 4 lim (\frac{3}{4 - x})

integral from-2 to 3 of 7/(x^4)

\int_{- 2}^{3} \frac{7}{x ^{4}} d x

integral of (2x-3)^{-7}

\int (2 x - 3)^{- 7} d x