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6. The \( \int_{0}^{10^{-4}} d x \) accurs ingenotic mutation study. Eraluate this integral

Ask by Welch Wood. in Malaysia
Nov 24,2024

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The value of the integral is \( 10^{-4} \).

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Beyond the Answer

To evaluate the integral \( \int_{0}^{10^{-4}} d x \), we recognize that this is simply the integral of 1 with respect to \( x \). The result is straightforward: \[ \int_{0}^{10^{-4}} d x = x \bigg|_{0}^{10^{-4}} = 10^{-4} - 0 = 10^{-4}. \] So, the value of the integral is \( 10^{-4} \), representing the area under the curve of a constant function (in this case, the value is 1) over the interval from 0 to \( 10^{-4} \). Now go forth and amaze your peers with your newfound calculus prowess!

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