What is the integral from 0 to 1 of xcosh(x) ?

The integral from 0 to 1 of xcosh(x) is -1/e+1

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integral from 0 to 1 of xcosh(x)

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

- \frac{1}{e} + 1

Decimal

0.63212 \dots

Solution steps

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

Apply Integration By Parts

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

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

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

= [x sinh (x) - cosh (x)]_{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 xcosh(x) ?
The integral from 0 to 1 of xcosh(x) is -1/e+1