bmed90
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Homework Statement
the integral of 1/(1-y)dy
Homework Equations
The Attempt at a Solution
ln|1-y|+C
however I believe you use u substitution as 1-y=U? Why is this so?
The discussion focuses on the application of U substitution in solving the integral of 1/(1-y)dy. The correct solution involves recognizing that substituting 1-y with U simplifies the integral to -∫(1/u)du, which is a standard integral yielding ln|u| + C. The participant highlights the importance of maintaining the negative sign during substitution, emphasizing that while U substitution is beneficial, the integral can also be solved directly due to its simplicity.
PREREQUISITESStudents learning calculus, educators teaching integral calculus, and anyone seeking to improve their skills in solving integrals using substitution methods.