Integral formula Carry out the following steps to derive
Chapter 6, Problem 108(choose chapter or problem)
Integral formula Carry out the following steps to derive the formula 1csch x dx = ln _ tanh 1x>22 _ + C (Theorem 6.9). a. Change variables with the substitution u = x>2 to show that L csch xdx = L 2du sinh 2u . b. Use the identity for sinh 2u to show that 2 sinh 2u = sech2 u tanh u . c. Change variables again to determine L sech2 u tanh u du and then express your answer in terms of x.
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