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人気のある微分積分 >

integral from-1 to 3 of (2x-1)

解

\int_{- 1}^{3} (2 x - 1) d x

解

4

解答ステップ

\int_{- 1}^{3} 2 x - 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_{- 1}^{3} 2 x d x - \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} 2 x d x = 8

\int_{- 1}^{3} 1 d x = 4

= 8 - 4

簡素化

= 4

グラフ

人気の例

integral from-1 to 2 of |2x-1|

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

integral from-1 to 1 of x/(sqrt(2+x^2))

\int_{- 1}^{1} \frac{x}{2 + x ^{2}} d x

integral from-7 to 1 of (-x^2-3x)

\int_{- 7}^{1} (- x^{2} - 3 x) d x

integral from 0 to 1/2 of 1/(x(ln(x))^2)

\int_{0}^{\frac{1}{2}} \frac{1}{x ( ln ( x ) ) ^{2}} d x

integral from 0 to 5 of x^2+4

\int_{0}^{5} x^{2} + 4 d x