What is the integral of tcosh(t) ?

The integral of tcosh(t) is tsinh(t)-cosh(t)+C

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integral of tcosh(t)

\int t cosh (t) d t

t sinh (t) - cosh (t) + C

Solution steps

\int t cosh (t) d t

Apply Integration By Parts

: t sinh (t) - \int sinh (t) d t

= t sinh (t) - \int sinh (t) d t

\int sinh (t) d t = cosh (t)

= t sinh (t) - cosh (t)

Add a constant to the solution

= t sinh (t) - cosh (t) + C

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What is the integral of tcosh(t) ?
The integral of tcosh(t) is tsinh(t)-cosh(t)+C