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Popular >

integral of e x/n

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Simplify

e \frac{1}{n} : \frac{e}{n}

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

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Add a constant to the solution

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

Popular Examples

integral of (5x^2)/(1+4x^6)

\int \frac{5 x ^{2}}{1 + 4 x ^{6}} d x

integral of \sqrt[7]{r^4}

integral of x*sqrt(x-2)

\int x \cdot x - 2 d x

integral of-1/8 e^{-2x}

\int - \frac{1}{8} e^{- 2 x} d x

integral of ((sin(2x))/(1+cos^2(x)))

\int (\frac{sin ( 2 x )}{1 + cos ^{2} ( x )}) d x

Frequently Asked Questions (FAQ)

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