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人気のある微分積分 >

integral from 1 to 2 of 1/(xsqrt(ln(x)))

解

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

解

2 ln (2)

+1

十進法表記

1.66510 \dots

解答ステップ

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

u置換積分法を適用する

= \int_{0}^{l n (2)} \frac{1}{u} d u

べき乗則を適用する

= [2 u^{\frac{1}{2}}]_{0}^{l n (2)}

累乗根の規則を適用する:

a^{\frac{1}{n}} = n a

= [2 u]_{0}^{l n (2)}

限度を計算する:

2 ln (2)

= 2 ln (2)

グラフ

人気の例

integral from 0 to 8 of-2t+5

\int_{0}^{8} - 2 t + 5 d t

integral from 7 to 3 of (3x(x^2-1)^3)/4

\int_{7}^{3} \frac{3 x ( x ^{2} - 1 ) ^{3}}{4} d x

integral from 0 to 50 of (10-0.2x)

\int_{0}^{50} (10 - 0.2 x) d x

integral from 0 to pi of sin(t)*cos(t)

\int_{0}^{π} sin (t) \cdot cos (t) d t

integral from 1 to 9 of 1

\int_{1}^{9} 1 d x