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人気のある微分積分 >

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

解

\int_{1}^{4} (4 x^{2} - 2 x) d x

解

69

解答ステップ

\int_{1}^{4} 4 x^{2} - 2 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_{1}^{4} 4 x^{2} d x - \int_{1}^{4} 2 x d x

\int_{1}^{4} 4 x^{2} d x = 84

\int_{1}^{4} 2 x d x = 15

= 84 - 15

簡素化

= 69

グラフ

人気の例

((3y^2-x^2)/(y^5))(dy)/(dx)+x/(2y^4)=0

(\frac{3 y ^{2} - x ^{2}}{y ^{5}}) \frac{d y}{d x} + \frac{x}{2 y ^{4}} = 0

(\partial)/(\partial x)(x(x^2+1))

\frac{\partial}{\partial x} (x (x^{2} + 1))

inverselaplace 3/(s-5)-2/(s+7)

in v erse l a pl a ce \frac{3}{s - 5} - \frac{2}{s + 7}

integral of b^x

\int b^{x} d x

(dy)/(dx)=((x^2+1))/(e^y)

\frac{d y}{d x} = \frac{( x ^{2} + 1 )}{e ^{y}}