What is the integral of (x^4)/(3355) ?

The integral of (x^4)/(3355) is (x^5)/(16775)+C

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integral of (x^4)/(3355)

\int \frac{x ^{4}}{3355} d x

\frac{x ^{5}}{16775} + C

Solution steps

\int \frac{x ^{4}}{3355} d x

Take the constant out:

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

= \frac{1}{3355} \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{1}{3355} \cdot \frac{x ^{5}}{5}

Simplify

\frac{1}{3355} \cdot \frac{x ^{5}}{5} : \frac{x ^{5}}{16775}

= \frac{x ^{5}}{16775}

Add a constant to the solution

= \frac{x ^{5}}{16775} + C

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{- x}

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

\int - sin^{2} (x) cos (x) d x

\frac{d}{d x} (\frac{x + 3}{x})

3 x e^{- x}

What is the integral of (x^4)/(3355) ?
The integral of (x^4)/(3355) is (x^5)/(16775)+C