Curve Area Silver

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-5x+4\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+6x-8\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(4,0\right)\text{ and }\left(1\frac{1}{2},-1\frac{1}{4}\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-10x+16\quad\phantom{\rule{0ex}{0ex}}y=-\frac{1}{2}{x}^{2}+\frac{7}{2}x-5\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(7,-5\right)\text{ and }\left(2,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+x-6\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-5x-6\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(0,-6\right)\text{ and }\left(-3,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y=4{x}^{2}-6x-4\quad\phantom{\rule{0ex}{0ex}}y=-4{x}^{2}+1\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(1\frac{1}{4},-5\frac{1}{4}\right)\text{ and }\left(-\frac{1}{2},0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-6x+9\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+9\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(3,0\right)\text{ and }\left(0,9\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-11x+28\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+10x-21\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(7,0\right)\text{ and }\left(3\frac{1}{2},1\frac{3}{4}\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+3x-4\quad\phantom{\rule{0ex}{0ex}}y=-2{x}^{2}+9x-4\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(2,6\right)\text{ and }\left(0,-4\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-7x+6\quad\phantom{\rule{0ex}{0ex}}y=-\frac{1}{2}{x}^{2}+\frac{7}{2}x-3\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(6,0\right)\text{ and }\left(1,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+7x+6\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-5x-4\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-1,0\right)\text{ and }\left(-5,-4\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+13x+42\quad\phantom{\rule{0ex}{0ex}}y=-\frac{1}{2}{x}^{2}-2x+6\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-4,6\right)\text{ and }\left(-6,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y=2{x}^{2}+17x+30\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-x+6\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-2,4\right)\text{ and }\left(-4,-6\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+4x-5\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-9x-20\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-1\frac{1}{2},-8\frac{3}{4}\right)\text{ and }\left(-5,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+6x+5\quad\phantom{\rule{0ex}{0ex}}y=-2{x}^{2}-21x-49\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-3,-4\right)\text{ and }\left(-6,5\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-7x+6\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+6x-5\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(5\frac{1}{2},-2\frac{1}{4}\right)\text{ and }\left(1,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+10x+24\quad\phantom{\rule{0ex}{0ex}}y=-\frac{1}{2}{x}^{2}-5x-12\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-4,0\right)\text{ and }\left(-6,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y=2{x}^{2}+20x+42\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-7x-12\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-3,0\right)\text{ and }\left(-6,-6\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y=\frac{1}{2}{x}^{2}-8\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-9x-20\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-2,-6\right)\text{ and }\left(-4,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-15x+56\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+16x-63\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(8\frac{1}{2},\frac{3}{4}\right)\text{ and }\left(7,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-7x+6\quad\phantom{\rule{0ex}{0ex}}y=-\frac{1}{2}{x}^{2}+\frac{13}{2}x-15\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(7,6\right)\text{ and }\left(2,-4\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}+10x+21\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-12x-35\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-4,-3\right)\text{ and }\left(-7,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-6x+8\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+5x-4\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(4,0\right)\text{ and }\left(1\frac{1}{2},1\frac{1}{4}\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-5x+6\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+9x-14\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(5,6\right)\text{ and }\left(2,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-13x+42\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+10x-21\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(7,0\right)\text{ and }\left(4\frac{1}{2},3\frac{3}{4}\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-4\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}-5x-6\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(-\frac{1}{2},-3\frac{3}{4}\right)\text{ and }\left(-2,0\right)\)

\(\text{Find the area between the lines:}\quad\phantom{\rule{0ex}{0ex}}y={x}^{2}-8x+15\quad\phantom{\rule{0ex}{0ex}}y=-{x}^{2}+9\quad\phantom{\rule{0ex}{0ex}}\text{Intersecting at }\left(3,0\right)\text{ and }\left(1,8\right)\)