integral of xe^{1-x}

解答

\int x e^{1 - x} d x

- e^{1 - x} x - e^{1 - x} + C

求解步骤

\int x e^{1 - x} d x

使用分布积分法

= - e^{1 - x} x - \int - e^{1 - x} d x

\int - e^{1 - x} d x = e^{1 - x}

= - e^{1 - x} x - e^{1 - x}

解答补常数

= - e^{1 - x} x - e^{1 - x} + C

f (x) = x sin (\frac{1}{x})

t an g e n t y = x^{2} - 3 x - 2, (2, - 4)

a re a x = 2 - y^{2}, x = y^{4}

x \to 3 - lim (\frac{4}{x ^{2} - 9})

a re a x^{2}, 2 - x