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人気のある微分積分 >

integral from 0 to 6 of 1/(1+x^2)

解

\int_{0}^{6} \frac{1}{1 + x ^{2}} d x

解

arctan (6)

+1

十進法表記

1.40564 \dots

解答ステップ

\int_{0}^{6} \frac{1}{1 + x ^{2}} d x

共通積分を使用する:

\int \frac{1}{1 + x ^{2}} d x = arctan (x)

= [arctan (x)]_{0}^{6}

限度を計算する:

arctan (6)

= arctan (6)

グラフ

人気の例

integral from 0 to pi/6 of (sec(x)+tan(x))^2

\int_{0}^{\frac{π}{6}} (sec (x) + tan (x))^{2} d x

integral from 1 to 2 of (ln(x))/(x^{10)}

\int_{1}^{2} \frac{ln ( x )}{x ^{10}} d x

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integral from 0 to pi/3 of tan(θ)

\int_{0}^{\frac{π}{3}} tan (θ) d θ