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人気のある微分積分 >

integral from 1 to 4 of 1/(x^3)

解

\int_{1}^{4} \frac{1}{x ^{3}} d x

解

\frac{15}{32}

+1

十進法表記

0.46875

解答ステップ

\int_{1}^{4} \frac{1}{x ^{3}} d x

べき乗則を適用する

= [- \frac{1}{2 x ^{2}}]_{1}^{4}

限度を計算する:

\frac{15}{32}

= \frac{15}{32}

グラフ

人気の例

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

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

integral from-1 to 0 of (4x-1)

\int_{- 1}^{0} (4 x - 1) d x

integral from 1 to 6 of 5+sqrt(t)

\int_{1}^{6} 5 + t d t

integral from 0 to pi/2 of sin^2(u)

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

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

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