What is the integral from-2 to x of 100-t^4 ?

The integral from-2 to x of 100-t^4 is 100x+200-(x^5+32)/5

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integral from-2 to x of 100-t^4

\int_{- 2}^{x} 100 - t^{4} d t

100 x + 200 - \frac{x ^{5} + 32}{5}

Solution steps

\int_{- 2}^{x} 100 - t^{4} d t

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} 100 d t - \int_{- 2}^{x} t^{4} d t

\int_{- 2}^{x} 100 d t = 100 x + 200

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

= 100 x + 200 - \frac{x ^{5} + 32}{5}

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What is the integral from-2 to x of 100-t^4 ?
The integral from-2 to x of 100-t^4 is 100x+200-(x^5+32)/5