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人気のある微分積分 >

integral from 0 to 3 of x^2-1

解

\int_{0}^{3} x^{2} - 1 d x

解

6

解答ステップ

\int_{0}^{3} x^{2} - 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}^{3} x^{2} d x - \int_{0}^{3} 1 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 1 d x = 3

= 9 - 3

簡素化

= 6

グラフ

人気の例

integral from 4 to 7 of x^3

\int_{4}^{7} x^{3} d x

integral from 0 to 1 of (3x^2-x+1)

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

integral from 2 to 5 of 2000x+1000

\int_{2}^{5} 2000 x + 1000 d x

integral from 5 to 10 of (2t)/(t^2+1)

\int_{5}^{10} \frac{2 t}{t ^{2} + 1} d t

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

\int_{- 2}^{1} \frac{t}{( t ^{2} + 1 ) ^{2}} d t