integral from y to 2y of 8x+e^y

Lösung

\int_{y}^{2 y} 8 x + e^{y} d x

y e^{y} + 12 y^{2}

Schritte zur Lösung

\int_{y}^{2 y} 8 x + e^{y} 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_{y}^{2 y} e^{y} d x + \int_{y}^{2 y} 8 x d x

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

\int_{y}^{2 y} 8 x d x = 12 y^{2}

= y e^{y} + 12 y^{2}

\int_{- 1}^{3} 6 x^{5} - 2 x^{3} + 2 d x

\int_{2}^{4} - x^{3} + 6 x^{2} - 8 x d x

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\int_{0}^{10} - 6 x^{2} - 12 x + 720 d x

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