What is the integral from-1 to 2 of (20-x^4) ?

The integral from-1 to 2 of (20-x^4) is 267/5

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integral from-1 to 2 of (20-x^4)

\int_{- 1}^{2} (20 - x^{4}) d x

\frac{267}{5}

Decimal

53.4

Solution steps

\int_{- 1}^{2} 20 - 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_{- 1}^{2} 20 d x - \int_{- 1}^{2} x^{4} d x

\int_{- 1}^{2} 20 d x = 60

\int_{- 1}^{2} x^{4} d x = \frac{33}{5}

= 60 - \frac{33}{5}

Simplify

60 - \frac{33}{5} : \frac{267}{5}

= \frac{267}{5}

What is the integral from-1 to 2 of (20-x^4) ?
The integral from-1 to 2 of (20-x^4) is 267/5