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人気のある微分積分 >

integral from 0 to 1 of (e^{(2x)/3}+1)

解

\int_{0}^{1} (e^{\frac{2 x}{3}} + 1) d x

解

\frac{3 ( e ^{\frac{2}{3}} - 1 )}{2} + 1

+1

十進法表記

2.42160 \dots

解答ステップ

\int_{0}^{1} e^{\frac{2 x}{3}} + 1 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}^{1} e^{\frac{2 x}{3}} d x + \int_{0}^{1} 1 d x

\int_{0}^{1} e^{\frac{2 x}{3}} d x = \frac{3 ( e ^{\frac{2}{3}} - 1 )}{2}

\int_{0}^{1} 1 d x = 1

= \frac{3 ( e ^{\frac{2}{3}} - 1 )}{2} + 1

グラフ

人気の例

y^{''}+(2*0.1096)y^'+(4.515^2)y=0

y^{^{''}} + (2 \cdot 0.1096) y^{^{'}} + (4.51 5^{2}) y = 0

(t^2+9)y^'+2ty=t^2(t^2+9)

(t^{2} + 9) y^{^{'}} + 2 t y = t^{2} (t^{2} + 9)

integral of+x/(x^2+9)

\int + \frac{x}{x ^{2} + 9} d x

(\partial)/(\partial x)(sqrt((x+4)/(y+3)))

\frac{\partial}{\partial x} (\frac{x + 4}{y + 3})

derivative 144((216)/(x^2)+x/(x+24))

d er i v a t i v e 144 (\frac{216}{x ^{2}} + \frac{x}{x + 24})