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人気のある微分積分 >

integral from 0 to 3 of 3^x+sqrt(9-x^2)

解

\int_{0}^{3} 3^{x} + 9 - x^{2} d x

解

\frac{26}{ln ( 3 )} + \frac{9 π}{4}

+1

十進法表記

30.73480 \dots

解答ステップ

\int_{0}^{3} 3^{x} + 9 - x^{2} d x

総和規則を適用する:

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

= \int_{0}^{3} 3^{x} d x + \int_{0}^{3} 9 - x^{2} d x

\int_{0}^{3} 3^{x} d x = \frac{26}{ln ( 3 )}

\int_{0}^{3} 9 - x^{2} d x = \frac{9 π}{4}

= \frac{26}{ln ( 3 )} + \frac{9 π}{4}

グラフ

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