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Integrate the function $\frac{1}{8000+1\cdot -200x}$ from $25$ to $60$

Step-by-step Solution

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Final Answer

The integral diverges.

Step-by-step Solution

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Simplifying

$\int_{25}^{60}\frac{1}{8000-200x}dx$

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$\int_{25}^{60}\frac{1}{8000-200x}dx$

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Learn how to solve problems step by step online. Integrate the function 1/(8000+1*-200x) from 25 to 60. Simplifying. Since the integral \int_{25}^{60}\frac{1}{8000-200x}dx has a discontinuity inside the interval, we have to split it in two integrals. The integral \int_{25}^{40}\frac{1}{8000-200x}dx results in: \lim_{c\to40}\left(-\frac{1}{200}\ln\left(8000-200c\right)+\frac{50}{1249}\right). The integral \int_{40}^{60}\frac{1}{8000-200x}dx results in: undefined.

Final Answer

The integral diverges.

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Function Plot

Plotting: $\frac{1}{8000+1\cdot -200x}$

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