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Beliebt Rechnen >

integral from 0 to y of 2(x+y)

Lösung

\int_{0}^{y} 2 (x + y) d x

Lösung

3 y^{2}

Schritte zur Lösung

\int_{0}^{y} 2 (x + y) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{y} y + 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

= 2 (\int_{0}^{y} y d x + \int_{0}^{y} x d x)

\int_{0}^{y} y d x = y^{2}

\int_{0}^{y} x d x = \frac{y ^{2}}{2}

= 2 (y^{2} + \frac{y ^{2}}{2})

Vereinfache

2 (y^{2} + \frac{y ^{2}}{2}) : 3 y^{2}

= 3 y^{2}

Beliebte Beispiele

tangent f(x)=-0.025x^2

t an g e n t f (x) = - 0.025 x^{2}

integral from 21 to infinity of xe^{-x}

\int_{21}^{\infty} x e^{- x} d x

integral from 1 to 2 of 1/x

\int_{1}^{2} \frac{1}{x} d x

(\partial)/(\partial x)(3xyz)

\frac{\partial}{\partial x} (3 x yz)

integral from 1 to 3 of (4x^3-8x+1)

\int_{1}^{3} (4 x^{3} - 8 x + 1) d x