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Indefinite Integral and Depreciation

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Please find the questions in the attachment.

1. Find the indefinite integral and check the result by differentiation:

Integrate x^3/ (1 + x^4)^2 dx

2. The rate of depreciation dV/dt of a machine is inversely proportional to the (t + 1)^2 , where V is the value of the machine t years after it was purchased. The initial value of the machine was $500,000, and its value decreased $100,000 in the first year. Estimate the value after 4 years.

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Solution Summary

The solution shows how to evaluate an indefinite integral and find the depreciation value of a machine.

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