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

The integral from-2 to x of 1-x^4 is x+2-(x^5+32)/5

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

\int_{- 2}^{x} 1 - x^{4} d x

x + 2 - \frac{x ^{5} + 32}{5}

Solution steps

\int_{- 2}^{x} 1 - x^{4} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{x} 1 d x - \int_{- 2}^{x} x^{4} d x

\int_{- 2}^{x} 1 d x = x + 2

\int_{- 2}^{x} x^{4} d x = \frac{x ^{5} + 32}{5}

= x + 2 - \frac{x ^{5} + 32}{5}

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What is the integral from-2 to x of 1-x^4 ?
The integral from-2 to x of 1-x^4 is x+2-(x^5+32)/5