Question

find the shaded region from the graph
$f(x) = x {}^{2} + 4x + 3 \\ g(x) = - x {}^{2} - 4x - 3$
If u cheet u will be reported​

Answer 1

$area = integration \: of \:{f(x) - g(x)}dx.$

$area = integration \: of \: { {x}^{2} + 4x + 3 - ( - {x}^{2} - 4x - 3)} \\ \\ = integration \: of \: { {x}^{2} + 4x + 3 + {x}^{2} + 4x + 3} \\ \\ = integration \: of \: {2 {x}^{2} + 8x + 6}$

Answer 2

Answer:

$\huge\bf\underline\pink{AnSweR:}$

Area of graph = Integration of

$f(x) - y(x)dx$

${x}^{2} + 4x + 3 - ( - {x}^{2} - 4x - 3)$

Integration of

$= {x}^{2} + 4x + 3 + {x}^{2} + 4x + 3$

$= {2x}^{2} + 8x + 6$