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Beliebt Rechnen >

integral of cos(t)+sin(t)

Lösung

\int cos (t) + sin (t) d t

Lösung

sin (t) - cos (t) + C

Schritte zur Lösung

\int cos (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 cos (t) d t + \int sin (t) d t

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

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

= sin (t) - cos (t)

Füge eine Konstante zur Lösung hinzu

= sin (t) - cos (t) + C

Graph

Beliebte Beispiele

sum from n=1 to infinity of 1/(ln(3n))

n = 1 \sum \infty \frac{1}{ln ( 3 n )}

tangent y= 3/x ,(4, 3/4)

t an g e n t y = \frac{3}{x}, (4, \frac{3}{4})

derivative y=96x^2+72x+12

d er i v a t i v e y = 96 x^{2} + 72 x + 12

(\partial)/(\partial y)(e^ysin(xy))

\frac{\partial}{\partial y} (e^{y} sin (x y))

integral of (9x)/((2-x^2)^3)

\int \frac{9 x}{( 2 - x ^{2} ) ^{3}} d x