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Cálculo integral

Lição 7: Volume: seções transversais quadrangulares e retangulares

Volumes com seções transversais: quadrados e retângulos

Seja R a região delimitada pelas curvas y, equals, square root of, x, end square root e y, equals, start fraction, x, divided by, 3, end fraction.

A região R é a base de um sólido cujas seções transversais perpendiculares ao eixo x são quadradas.

Qual das integrais definidas nos dá o volume do sólido?

(Escolha A)
integral, start subscript, 0, end subscript, start superscript, 1, end superscript, left parenthesis, square root of, x, end square root, minus, start fraction, x, divided by, 3, end fraction, right parenthesis, squared, d, x
(Escolha B)
integral, start subscript, 0, end subscript, cubed, left parenthesis, square root of, x, end square root, minus, start fraction, x, divided by, 3, end fraction, right parenthesis, squared, d, x
(Escolha C)
integral, start subscript, 0, end subscript, start superscript, 9, end superscript, left parenthesis, square root of, x, end square root, minus, start fraction, x, divided by, 3, end fraction, right parenthesis, squared, d, x
(Escolha D)
integral, start subscript, 0, end subscript, start superscript, 27, end superscript, left parenthesis, square root of, x, end square root, minus, start fraction, x, divided by, 3, end fraction, right parenthesis, squared, d, x

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