integral from-2 to 2 of 36^{x/2}

解

\int_{- 2}^{2} 3 6^{\frac{x}{2}} d x

\frac{1295}{36 ln ( 6 )}

十進法表記

20.07647 \dots

解答ステップ

\int_{- 2}^{2} 3 6^{\frac{x}{2}} d x

簡素化

3 6^{\frac{x}{2}} : 6^{x}

= \int_{- 2}^{2} 6^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{6 ^{x}}{ln ( 6 )}]_{- 2}^{2}

限度を計算する:

\frac{1295}{36 ln ( 6 )}

= \frac{1295}{36 ln ( 6 )}