integral of sqrt(2)e^x

解答

\int 2 e^{x} d x

2 e^{x} + C

求解步骤

\int 2 e^{x} d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int e^{x} d x

使用积分常见定则:

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

= 2 e^{x}

解答补常数

= 2 e^{x} + C

\int (3 x + 1)^{2} d x

t \to 1 lim (ln (t))

\frac{\partial}{\partial y} (x e^{y} + cos (y))

\frac{\partial}{\partial y} (\frac{3 x ^{2}}{y})

x \to 5 + lim (\frac{1}{( x - 5 ) ^{2}})