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人気のある微分積分 >

integral from 3 to 5 of 2x^2-2

解

\int_{3}^{5} 2 x^{2} - 2 d x

解

\frac{184}{3}

+1

十進法表記

61.33333 \dots

解答ステップ

\int_{3}^{5} 2 x^{2} - 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_{3}^{5} 2 x^{2} d x - \int_{3}^{5} 2 d x

\int_{3}^{5} 2 x^{2} d x = \frac{196}{3}

\int_{3}^{5} 2 d x = 4

= \frac{196}{3} - 4

簡素化

\frac{196}{3} - 4 : \frac{184}{3}

= \frac{184}{3}

グラフ

人気の例

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

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

integral from 4 to 10 of 200+50x

\int_{4}^{10} 200 + 50 x d x

integral from 0 to (5pi)/3 of 4tan(x/5)

\int_{0}^{\frac{5 π}{3}} 4 tan (\frac{x}{5}) d x

integral from 0 to 2 of (x^2-5x+6)

\int_{0}^{2} (x^{2} - 5 x + 6) d x

integral from 1 to 4 of 5/x-5/(x^2)

\int_{1}^{4} \frac{5}{x} - \frac{5}{x ^{2}} d x