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Beliebt Rechnen >

integral of 8cos(x)+3x-8

Lösung

\int 8 cos (x) + 3 x - 8 d x

Lösung

8 sin (x) + \frac{3 x ^{2}}{2} - 8 x + C

Schritte zur Lösung

\int 8 cos (x) + 3 x - 8 d x

Wende die Summenregel an:

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

= \int 8 cos (x) d x + \int 3 x d x - \int 8 d x

\int 8 cos (x) d x = 8 sin (x)

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

\int 8 d x = 8 x

= 8 sin (x) + \frac{3 x ^{2}}{2} - 8 x

Füge eine Konstante zur Lösung hinzu

= 8 sin (x) + \frac{3 x ^{2}}{2} - 8 x + C

Graph

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(\partial)/(\partial x)(xsin(2x^2y))

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integral of 1/(tsqrt(4t^2-1))

\int \frac{1}{t 4 t ^{2} - 1} d t

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

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