Luas daerah yang dibatasi oleh kurva y=2x-6, sumbu x, garis x=1, dan garis x=3 adalah...
adamdhijee
2 votes
Thanks 5
izharulhaq78
![\displaystyle L=\left|\int\limits^3_12x-6\,dx\right|\\L=\left|\left\frac{2}{1+1}x^{1+1}-\frac{6}{0+1}x^{0+1}\right]^3_1\right|\\L=\left|\int\limits^3_12x-6\,dx=\left\frac{2}{2}x^{2}-\frac{6}{1}x^{1}\right]^3_1\right|\\L=\left|\left(3)^{2}-6(3)-((1)^{2}-6(1))\right]^3_1\right|\\L=\left|9-18-(1-6)\right|\\L=\left|-9-(-5)\right|\\L=\left|-9+5\right|\\L=\left|-4\right|\\\boxed{\boxed{L=4\,\text{sL}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle+L%3D%5Cleft%7C%5Cint%5Climits%5E3_12x-6%5C%2Cdx%5Cright%7C%5C%5CL%3D%5Cleft%7C%5Cleft%5Cfrac%7B2%7D%7B1%2B1%7Dx%5E%7B1%2B1%7D-%5Cfrac%7B6%7D%7B0%2B1%7Dx%5E%7B0%2B1%7D%5Cright%5D%5E3_1%5Cright%7C%5C%5CL%3D%5Cleft%7C%5Cint%5Climits%5E3_12x-6%5C%2Cdx%3D%5Cleft%5Cfrac%7B2%7D%7B2%7Dx%5E%7B2%7D-%5Cfrac%7B6%7D%7B1%7Dx%5E%7B1%7D%5Cright%5D%5E3_1%5Cright%7C%5C%5CL%3D%5Cleft%7C%5Cleft%283%29%5E%7B2%7D-6%283%29-%28%281%29%5E%7B2%7D-6%281%29%29%5Cright%5D%5E3_1%5Cright%7C%5C%5CL%3D%5Cleft%7C9-18-%281-6%29%5Cright%7C%5C%5CL%3D%5Cleft%7C-9-%28-5%29%5Cright%7C%5C%5CL%3D%5Cleft%7C-9%2B5%5Cright%7C%5C%5CL%3D%5Cleft%7C-4%5Cright%7C%5C%5C%5Cboxed%7B%5Cboxed%7BL%3D4%5C%2C%5Ctext%7BsL%7D%7D%7D "\displaystyle L=\left|\int\limits^3_12x-6\,dx\right|\\L=\left|\left\frac{2}{1+1}x^{1+1}-\frac{6}{0+1}x^{0+1}\right]^3_1\right|\\L=\left|\int\limits^3_12x-6\,dx=\left\frac{2}{2}x^{2}-\frac{6}{1}x^{1}\right]^3_1\right|\\L=\left|\left(3)^{2}-6(3)-((1)^{2}-6(1))\right]^3_1\right|\\L=\left|9-18-(1-6)\right|\\L=\left|-9-(-5)\right|\\L=\left|-9+5\right|\\L=\left|-4\right|\\\boxed{\boxed{L=4\,\text{sL}}}")
2 votes
Thanks 5