Proceeding as in Example 1, obtain (a) L(t cos t) = S 2 - 2 /(s

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Proceeding as in Example 1, obtain

(a) L(t cos ωt) = S2 - ω2/(s2 + ω2)2

and from this and Example 1

(b) formula 21

(c) 22

(d) 23 in Sec. 6.9

(e) L(t cosh αt) = S2 + α2/(s2 - α2)2

(f) L(t sinh αt) = 2αs/(s2 - α2)2

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