ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

integral from 0 to 1 of (5x^e+9e^x)

解

\int_{0}^{1} (5 x^{e} + 9 e^{x}) d x

解

\frac{5}{e + 1} + 9 (e - 1)

+1

十進法表記

16.80924 \dots

解答ステップ

\int_{0}^{1} 5 x^{e} + 9 e^{x} 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} 5 x^{e} d x + \int_{0}^{1} 9 e^{x} d x

\int_{0}^{1} 5 x^{e} d x = \frac{5}{e + 1}

\int_{0}^{1} 9 e^{x} d x = 9 (e - 1)

= \frac{5}{e + 1} + 9 (e - 1)

グラフ

人気の例

integral from 1.6 to 5.6 of (ln(x+8)-2x)

\int_{1.6}^{5.6} (ln (x + 8) - 2 x) d x

integral from-pi to 0 of x^2sin(nx)

\int_{- π}^{0} x^{2} sin (n x) d x

integral from-2pi to 2pi of (5sin(x))

\int_{- 2 π}^{2 π} (5 sin (x)) d x

integral from 0 to 1 of pisqrt(x)

\int_{0}^{1} π x d x

integral from 0 to 2x^2 of xln(x)

\int_{0}^{2 x^{2}} x ln (x) d x