Luas daerah yang dibatasi oleh kurva y=x²-16, sumbu X, sumbu Y dan x=4 adalah
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![\int\limits^4_0 {x^{2} - 16} \, dx \\\\ = [\frac{1}{3}x^{3} - 16x]\limits^4_0 \\\\ = | (\frac{1}{3}(4)^{3} - 16(4)) - (\frac{1}{3}(0)^{3} - 16(0)) | \\\\ = | (\frac{64}{3} - 64) - 0 | \\\\ = | (\frac{64}{3} - \frac{192}{3}) | \\\\ = | - \frac{128}{3} | \\\\ \boxed{\boxed{\bold{ = \frac{128}{3}\ satuan\ luas}}}](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E4_0+%7Bx%5E%7B2%7D+-+16%7D+%5C%2C+dx+%5C%5C%5C%5C+%3D+%5B%5Cfrac%7B1%7D%7B3%7Dx%5E%7B3%7D+-+16x%5D%5Climits%5E4_0+%5C%5C%5C%5C+%3D+%7C+%28%5Cfrac%7B1%7D%7B3%7D%284%29%5E%7B3%7D+-+16%284%29%29+-+%28%5Cfrac%7B1%7D%7B3%7D%280%29%5E%7B3%7D+-+16%280%29%29+%7C+%5C%5C%5C%5C+%3D+%7C+%28%5Cfrac%7B64%7D%7B3%7D+-+64%29+-+0+%7C+%5C%5C%5C%5C+%3D+%7C+%28%5Cfrac%7B64%7D%7B3%7D+-+%5Cfrac%7B192%7D%7B3%7D%29+%7C+%5C%5C%5C%5C+%3D+%7C+-+%5Cfrac%7B128%7D%7B3%7D+%7C+%5C%5C%5C%5C+%5Cboxed%7B%5Cboxed%7B%5Cbold%7B+%3D+%5Cfrac%7B128%7D%7B3%7D%5C+satuan%5C+luas%7D%7D%7D "\int\limits^4_0 {x^{2} - 16} \, dx \\\\ = [\frac{1}{3}x^{3} - 16x]\limits^4_0 \\\\ = | (\frac{1}{3}(4)^{3} - 16(4)) - (\frac{1}{3}(0)^{3} - 16(0)) | \\\\ = | (\frac{64}{3} - 64) - 0 | \\\\ = | (\frac{64}{3} - \frac{192}{3}) | \\\\ = | - \frac{128}{3} | \\\\ \boxed{\boxed{\bold{ = \frac{128}{3}\ satuan\ luas}}}")
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