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Beliebt Rechnen >

integral of cos(x)+1/4 x

Lösung

\int cos (x) + \frac{1}{4} x d x

Lösung

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

Schritte zur Lösung

\int cos (x) + \frac{1}{4} x 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 cos (x) d x + \int \frac{1}{4} x d x

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

\int \frac{1}{4} x d x = \frac{x ^{2}}{8}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 1/(y-y^3)

\int \frac{1}{y - y ^{3}} d y

integral from 0 to 4 of 2pi(x)(4x-x^2)

\int_{0}^{4} 2 π (x) (4 x - x^{2}) d x

derivative of 1/(x^{-5})

\frac{d}{d x} (\frac{1}{x ^{- 5}})

2× 2+6× 1/22× 2

2 \times 2 + 6 \times 1/22 \times 2

(\partial)/(\partial x)(y^{-2}(4y+9x^2))

\frac{\partial}{\partial x} (y^{- 2} (4 y + 9 x^{2}))