integral from-infinity to 3 of xe^x

解答

\int_{- \infty}^{3} x e^{x} d x

2 e^{3}

十进制

40.17107 \dots

求解步骤

\int_{- \infty}^{3} x e^{x} d x

计算不定积分:

\int x e^{x} d x = e^{x} x - e^{x} + C

带入上下限计算后得:

\int_{- \infty}^{3} x e^{x} d x = 2 e^{3} - 0

= 2 e^{3} - 0

化简

= 2 e^{3}

t an g e n t 5 e^{x} cos (x) (0.5)

\int x sin (7 x) d x

d er i v a t i v e (1 + cos^{3} (x^{7}))^{12}

\frac{\partial}{\partial x} (y^{3} sin (6 x))

t an g e n t f (x) = \frac{2}{3 x + 5}, (- 1, 1)