What is the integral of e/x ?

The integral of e/x is eln|x|+C

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integral of e/x

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

e ln ∣ x ∣ + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= e ln ∣ x ∣

Add a constant to the solution

= e ln ∣ x ∣ + C

y = 5 - x^{2}, y = x^{2} + 3

\int \frac{cos ( x )}{( 1 + sin ( x ) )} d x

f (x) = 2 x^{3} - 3 x^{2} - 36 x + 5

f (x) = cos (a x)

x \to \infty + lim (ln (x))