What is the integral from-1 to 1 of 2-|x|-x^4 ?

The integral from-1 to 1 of 2-|x|-x^4 is 13/5

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integral from-1 to 1 of 2-|x|-x^4

\int_{- 1}^{1} 2 - ∣ x ∣ - x^{4} d x

\frac{13}{5}

Decimal Notation

2.6

Solution steps

\int_{- 1}^{1} 2 - ∣ x ∣ - x^{4} d x

Eliminate Absolutes

= \int_{- 1}^{0} 2 - (- x) - x^{4} d x + \int_{0}^{1} 2 - x - x^{4} d x

\int_{- 1}^{0} 2 - (- x) - x^{4} d x = \frac{13}{10}

\int_{0}^{1} 2 - x - x^{4} d x = \frac{13}{10}

= \frac{13}{10} + \frac{13}{10}

Simplify

\frac{13}{10} + \frac{13}{10} : \frac{13}{5}

= \frac{13}{5}

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What is the integral from-1 to 1 of 2-|x|-x^4 ?
The integral from-1 to 1 of 2-|x|-x^4 is 13/5