Final Answer
$\frac{33}{329}$
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Step-by-step Solution
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1
Solve the product $\frac{3}{100}\left(x-\frac{1}{10}\right)$
$\int_{\frac{1}{10}}^{\frac{1}{5}}\left(1.001+\frac{3}{100}x-\frac{1}{333}+\frac{3}{10}\left(x-\frac{1}{10}\right)^2+2\left(x-\frac{1}{10}\right)^3\right)dx$
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$\int_{\frac{1}{10}}^{\frac{1}{5}}\left(1.001+\frac{3}{100}x-\frac{1}{333}+\frac{3}{10}\left(x-\frac{1}{10}\right)^2+2\left(x-\frac{1}{10}\right)^3\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 1.001+3/100(x-1/10)3/10(x-1/10)^22(x-1/10)^3 from 1/10 to 1/5. Solve the product \frac{3}{100}\left(x-\frac{1}{10}\right). Simplify the expression inside the integral. The integral \int_{\frac{1}{10}}^{\frac{1}{5}}0.998dx results in: \frac{49}{491}. The integral \int_{\frac{1}{10}}^{\frac{1}{5}}\frac{3}{100}xdx results in: 0.00045.
Final Answer
$\frac{33}{329}$