integral of x^{22}e^{x^{23}}

解答

\int x^{22} e^{x^{23}} d x

\frac{1}{23} e^{x^{23}} + C

求解步骤

\int x^{22} e^{x^{23}} d x

使用换元积分法

= \int \frac{1}{23} d u

常数积分:

\int a d x = a x

= \frac{1}{23} u

u = e^{x^{23}}

代回

= \frac{1}{23} e^{x^{23}}

解答补常数

= \frac{1}{23} e^{x^{23}} + C

d er i v a t i v e y = (3 - x^{2}) (x^{3} - 2 x + 1)

\frac{d x}{d t} = \frac{1 - x}{k}

d er i v a t i v e f (x) = sin (7 ln (x))

x y^{^{'}} = y + x^{2} sin (x), y (\frac{π}{2}) = 0

n = 0 \sum \infty (x + 3)^{n}