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Beliebt Rechnen >

integral of arctan(9t)

Lösung

\int arctan (9 t) d t

Lösung

t arctan (9 t) - \frac{1}{18} ln 81 t^{2} + 1 + C

Schritte zur Lösung

\int arctan (9 t) d t

Wende die partielle Integration an

= t arctan (9 t) - \int \frac{9 t}{81 t ^{2} + 1} d t

\int \frac{9 t}{81 t ^{2} + 1} d t = \frac{1}{18} ln 81 t^{2} + 1

= t arctan (9 t) - \frac{1}{18} ln 81 t^{2} + 1

Füge eine Konstante zur Lösung hinzu

= t arctan (9 t) - \frac{1}{18} ln 81 t^{2} + 1 + C

Graph

Beliebte Beispiele

y^{^{'}} = - 2 y

integral of (2x-4)(x^2-4x+3)^5

\int (2 x - 4) (x^{2} - 4 x + 3)^{5} d x

2 t y^{^{'}} + 4 y = 3

integral of 9/(x-4)

\int \frac{9}{x - 4} d x

derivative of tan(4x^5)

\frac{d}{d x} (tan (4 x^{5}))