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Popular >

integral of e^4x

Solution

integral

e^{4} x

Solution

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

Solution steps

\int e^{4} x d x

Take the constant out:

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

= e^{4} \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

integral of sqrt(1-f(x))integral

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3 x^{2} + 4 x

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cos^{2} (3 x)

integral of (sqrt(1+e^{-x)})/(e^x)integral

\frac{1 + e ^{- x}}{e ^{x}}

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

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

Frequently Asked Questions (FAQ)

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