What is the integral of (e^x)/4 ?

The integral of (e^x)/4 is 1/4 e^x+C

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integral of (e^x)/4

\int \frac{e ^{x}}{4} d x

\frac{1}{4} e^{x} + C

Solution steps

\int \frac{e ^{x}}{4} d x

Take the constant out:

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

= \frac{1}{4} \cdot \int e^{x} d x

Use the common integral:

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

= \frac{1}{4} e^{x}

Add a constant to the solution

= \frac{1}{4} e^{x} + C

f (x) = \frac{2}{x}, (5, \frac{2}{5})

y^{^{''}} + 12 y^{^{'}} + 35 y = 0

x \to 0 lim (\frac{4 - x}{x ^{2}})

\frac{5 ^{x^{3}}}{4 x ^{2}}

y = ln (x - 9)