integral of e^{(y^2)}

解答

\int e^{(y^{2})} d y

\frac{π}{2} erfi (y) + C

求解步骤

\int e^{y^{2}} d y

这是非初等函数积分:

\int e^{y^{2}} d y = \frac{π}{2} erfi (y)

= \frac{π}{2} erfi (y)

解答补常数

= \frac{π}{2} erfi (y) + C

\int_{0}^{1} (x - x) d x

\frac{\partial}{\partial x} (y - \frac{1}{x ^{2}})

d er i v a t i v e e^{(\frac{1}{t} l n (\frac{5 ^{t} + 1 3 ^{t}}{2}))}

\frac{d y}{d t} + 50 y = 0

a re a 9 x^{2} ln (x), 36 ln (x)