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人気のある微分積分 >

integral from 0 to 4 of 2x-3

解

\int_{0}^{4} 2 x - 3 d x

解

4

解答ステップ

\int_{0}^{4} 2 x - 3 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}^{4} 2 x d x - \int_{0}^{4} 3 d x

\int_{0}^{4} 2 x d x = 16

\int_{0}^{4} 3 d x = 12

= 16 - 12

簡素化

= 4

グラフ

人気の例

integral from 1 to 2 of sqrt(1+16x^2)

\int_{1}^{2} 1 + 16 x^{2} d x

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

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

integral from-4 to 1 of |2x|

\int_{- 4}^{1} ∣ 2 x ∣ d x

integral from 0 to pi/2 of 2sin(2θ)

\int_{0}^{\frac{π}{2}} 2 sin (2 θ) d θ

integral from 1 to 3 of 3x^2-12

\int_{1}^{3} 3 x^{2} - 12 d x