Question

Evaluate the following integral: \int \frac{x+3}{x-1}dx

Applications of integrals
ANSWERED
asked 2021-05-29
Evaluate the following integral: \(\int \frac{x+3}{x-1}dx\)

Expert Answers (1)

2021-05-30
\(I=\int \frac{x+3}{x-1}dx\)
\(=\int \frac{x+3-1+1}{x-1}dx\)
\(=\int \frac{x-1+4}{x-1}dx\)
\(=\int 1dx + \int \frac{4}{x-1}dx\)
\(=x+4\log |x-1|+c\)
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