What is the integral from 0 to 1/2 of x^4 ?

The integral from 0 to 1/2 of x^4 is 1/160

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integral from 0 to 1/2 of x^4

\int_{0}^{\frac{1}{2}} x^{4} d x

\frac{1}{160}

Decimal Notation

0.00625

Solution steps

\int_{0}^{\frac{1}{2}} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{0}^{\frac{1}{2}}

= [\frac{x ^{5}}{5}]_{0}^{\frac{1}{2}}

Compute the boundaries:

\frac{1}{160}

= \frac{1}{160}

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\int_{0}^{\frac{π}{2}} x^{3} \cdot cos (2 x) d x

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What is the integral from 0 to 1/2 of x^4 ?
The integral from 0 to 1/2 of x^4 is 1/160