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Popular >

integral of (e^2x)/2

Solution

integral

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

Solution

\frac{e ^{2} x ^{2}}{4} + C

Solution steps

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

Take the constant out:

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

= \frac{e ^{2}}{2} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

\frac{e ^{2}}{2} \cdot \frac{x ^{2}}{2} : \frac{e ^{2} x ^{2}}{4}

= \frac{e ^{2} x ^{2}}{4}

Add a constant to the solution

= \frac{e ^{2} x ^{2}}{4} + C

Popular Examples

integral of 1-tan^2(x)integral

1 - tan^{2} (x)

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\frac{x ^{3}}{( x + 2 ) ^{4}}

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integral of (x^4)/((x^3-1))integral

\frac{x ^{4}}{( x ^{3} - 1 )}

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

\frac{1}{( 2 x ^{2} + x )}

Frequently Asked Questions (FAQ)

What is the integral of (e^2x)/2 ?
The integral of (e^2x)/2 is (e^2x^2)/4+C