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jasenka [17]
2 years ago
6

Given the hyperbola y = 1/x, find the area under the curve between x = 5 and x = 33 to 3 sig. dig. namely: integral subscript 5

superscript 33 1 over x d x space equals . State the definite integral and evaluate it:Given the hyperbola y = 1/x, find the area under the curve between x = 5 and x = 33 to 3 sig. dig. namely: integral subscript 5 superscript 33 1 over x d x space equals . State the definite integral and evaluate it:
Mathematics
1 answer:
Shtirlitz [24]2 years ago
4 0

Answer:

(b) ln(33/5)

Step-by-step explanation:

\int\limits_{5}^{33}  \frac{1}{x} \, dx = \ln(x)  \Big|\limits_{5}^{33} = \ln(33) - \ln(5) \\\\= ln(33/5)

Remember that  in general

\ln(a) - \ln(b) = \ln(a/b)

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