What is area 11-x-2x^2, 8/(x^3) ?

The answer to area 11-x-2x^2, 8/(x^3) is 11/6

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area 11-x-2x^2, 8/(x^3)

area

11 - x - 2 x^{2}, \frac{8}{x ^{3}}

\frac{11}{6}

Decimal

1.83333 \dots

Solution steps

Apply the area formula:

\int_{1}^{2} 11 - x - 2 x^{2} - \frac{8}{x ^{3}} d x

Solve

\int_{1}^{2} 11 - x - 2 x^{2} - \frac{8}{x ^{3}} d x : \frac{11}{6}

The area is:

= \frac{11}{6}