What is area ((x-4)^2+1/2),[2,4] ?

The answer to area ((x-4)^2+1/2),[2,4] is 11/3

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area ((x-4)^2+1/2),[2,4]

area

((x - 4)^{2} + \frac{1}{2}), [2, 4]

\frac{11}{3}

Decimal

3.66666 \dots

Solution steps

Apply the area formula:

\int_{2}^{4} (x - 4)^{2} + \frac{1}{2} d x

Solve

\int_{2}^{4} (x - 4)^{2} + \frac{1}{2} d x : \frac{11}{3}

The area is:

= \frac{11}{3}

\int \frac{4 x + 10}{x ^{3} + x} d x

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\int (5 x^{3} + 10 x)^{3} (3 x^{2} + 2) d x

What is area ((x-4)^2+1/2),[2,4] ?
The answer to area ((x-4)^2+1/2),[2,4] is 11/3