How do you find the area of the region bounded by the graph of $f(x)=x^4$ and the $x$ -axis on the interval $[-2,2]$ ?

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Answer 1 · 2014-09-24T02:34:55

In this an integration problem. We need to find the area under the curve $f(x)=x^4$ over the interval $-2$ to $2$ .

$int_-2^2x^4 dx = [x^5/5]_-2^2$

$=[(2)^5/5-(-2)^5/5]=[32/5-(-32)/5]$

$=[32/5+32/5]=[64/5]=12.8$

How do you find the area of the region bounded by the graph of f(x)=x^4f(x)=x^4 and the xx-axis on the interval [-2,2][-2,2] ?