What is the integral from 0 to 1 of tcosh(t) ?

The integral from 0 to 1 of tcosh(t) is -1/e+1

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integral from 0 to 1 of tcosh(t)

\int_{0}^{1} t cosh (t) d t

- \frac{1}{e} + 1

Decimal

0.63212 \dots

Solution steps

\int_{0}^{1} t cosh (t) d t

Apply Integration By Parts

: [t sinh (t) - \int sinh (t) d t]_{0}^{1}

= [t sinh (t) - \int sinh (t) d t]_{0}^{1}

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

= [t sinh (t) - cosh (t)]_{0}^{1}

Compute the boundaries:

- \frac{1}{e} + 1

= - \frac{1}{e} + 1

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What is the integral from 0 to 1 of tcosh(t) ?
The integral from 0 to 1 of tcosh(t) is -1/e+1