Question

I am confused about how $\sqrt{\sin^2 6t +\cos^2 6t + (6\ln(\cos t))^2}$ simplifies to $36 \sec t$

score 154 · Answer 1 · 2026-04-16 11:42:25

154

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I am confused about how $\sqrt{\sin^2 6t +\cos^2 6t + (6\ln(\cos t))^2}$ simplifies to $36 \sec t$

Published on 16 Apr 2026 - 11:42

score 348 · Answer 2 · 2026-04-17 10:28:09

348

Views

Find arc length of $ y=( e^{x/2} + e^{-x/2} ) $ over this interval $[-2,2]$

Published on 17 Apr 2026 - 10:28

score 48 · Answer 3 · 2026-04-13 17:14:20

48

Views

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score 37 · Answer 4 · 2026-05-11 00:59:56

37

Views

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score 1.5k · Answer 5 · 2026-04-11 03:45:54

1.5k

Views

Proof of formula for the arc length

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score 95 · Answer 6 · 2026-04-15 16:18:26

95

Views

About the definition of the length of a curve (keyword: rectifiable)

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score 968 · Answer 7 · 2026-04-13 21:26:15

968

Views

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score 91 · Answer 8 · 2026-04-14 20:17:59

91

Views

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score 1.2k · Answer 9 · 2026-04-16 01:16:52

1.2k

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score 1.2k · Answer 10 · 2026-04-14 09:40:06

1.2k

Views

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Published on 14 Apr 2026 - 9:40

score 4.1k · Answer 11 · 2026-04-15 09:50:09

4.1k

Views

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Published on 15 Apr 2026 - 9:50

score 104 · Answer 12 · 2026-04-17 04:18:21

104

Views

Arc length of $x^3 \sqrt{9-x}$ on $[0,9]$

Published on 17 Apr 2026 - 4:18

score 49 · Answer 13 · 2026-04-15 00:14:11

49

Views

How to calculate $\int \sqrt{1+\frac{4x^2}{(1-2x)^2}}dx = $?

Published on 15 Apr 2026 - 0:14

score 75 · Answer 14 · 2026-04-13 04:16:03

75

Views

Finding arc length of $f(x) = \sqrt{x+2}$ - is there an easier way?

Published on 13 Apr 2026 - 4:16

score 54 · Answer 15 · 2026-04-16 04:08:40

54

Views

Does there exist an opposite to curve length in integral calculus, "radius length"?

Published on 16 Apr 2026 - 4:08

List Question

I am confused about how $\sqrt{\sin^2 6t +\cos^2 6t + (6\ln(\cos t))^2}$ simplifies to $36 \sec t$

Find arc length of $ y=( e^{x/2} + e^{-x/2} ) $ over this interval $[-2,2]$

Arc Length: Surface of revolution

How to compute acute triangles and their values from sections of a circle?

Proof of formula for the arc length

About the definition of the length of a curve (keyword: rectifiable)

Integral inequality of length of curve

Supremum of arc lengths of graphs of power towers

Arc length of quadratic curve

What is the "Full Cycle" of a Polar Curve?

How to Calculate Point on an Arc (Given: Center, Arc Endpoints, Direction, and Distance along the Arc)?

Arc length of $x^3 \sqrt{9-x}$ on $[0,9]$

How to calculate $\int \sqrt{1+\frac{4x^2}{(1-2x)^2}}dx = $?

Finding arc length of $f(x) = \sqrt{x+2}$ - is there an easier way?

Does there exist an opposite to curve length in integral calculus, "radius length"?

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