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人気のある微分積分 >

integral from 2 to 4 of x^{2x}(1+ln(x))

解

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

解

32760

解答ステップ

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

u置換積分法を適用する

= \int_{16}^{65536} \frac{1}{2} d u

定数の積分:

\int a d x = a x

= [\frac{1}{2} u]_{16}^{65536}

限度を計算する:

32760

= 32760

グラフ

人気の例

integral from 2 to 4 of x^2+2x

\int_{2}^{4} x^{2} + 2 x d x

integral from-3 to 1 of x^2

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

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

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

integral from-8 to 4 of sqrt(32-4x-x^2)

\int_{- 8}^{4} 32 - 4 x - x^{2} d x

integral from-1 to 1 of x(x^3+cos^3(x))

\int_{- 1}^{1} x (x^{3} + cos^{3} (x)) d x