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Popular >

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{x ^{2}}{2}

= \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

Popular Examples

integral of sqrt(1+x^4)x^3

\int 1 + x^{4} x^{3} d x

integral of 10sec^2(x)tan^4(x)

\int 10 sec^{2} (x) tan^{4} (x) d x

integral of (4x+1)/(x^2-6x+13)

\int \frac{4 x + 1}{x ^{2} - 6 x + 13} d x

integral of 2/(x^2+2x)

\int \frac{2}{x ^{2} + 2 x} d x

integral of 3t^2ln(t)

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

Frequently Asked Questions (FAQ)

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