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Popular Calculus >

integral of x/e

Solution

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

Solution

\frac{x ^{2}}{2 e} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

= \frac{1}{e} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{e} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{2 e}

= \frac{x ^{2}}{2 e}

Add a constant to the solution

= \frac{x ^{2}}{2 e} + C

Graph

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\int 3 t^{2} ln (t) d t

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\int \frac{30}{x ( ln ( 5 x ) ) ^{2}} d x

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\int cos (4 x) cos (x) sin (4 x) sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral of x/e ?
The integral of x/e is (x^2)/(2e)+C