Integrate the a rational expression using logarithms and u substitution

The video tutorial addresses a problem involving factoring in an expression with a denominator. It introduces the substitution method by setting U equal to 5X + 1 and finding DU. The tutorial then demonstrates the integration process using this substitution, resulting in the natural logarithm of the absolute value of U plus a constant. The video concludes with a cautionary note to ensure accuracy in calculations.

What is the expression for U in the given context?

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How do you express DU in terms of DX?

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What is the integral of one over U?

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What is the final expression after integrating and substituting U?

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What should you be careful about when substituting U back into the integral?

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