Question
Asked Jul 28, 2019
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find the exact length of the curve of the equation below, show all work

y = ln(sec(x)), with a range of 0 to pi/4

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Expert Answer

Step 1

First, we find the dy/dx

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y In(sec(x)) dy 1 sec (x) tan(x) sec (x) dy dx Or = tan (x) dx

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Step 2

Then we find arc length using a...

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Arc length dy 1+ dx 4 dx 4 1+(tan(x) ) dx 0 4 V(sec(x)) dx [Using Pythagorean identity] 4 sec (x) dx 0

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Math

Calculus

Integration

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