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

The integral from 0 to 1 of xsinh(x) is 1/e

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integral from 0 to 1 of xsinh(x)

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

\frac{1}{e}

Solution steps

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

Apply Integration By Parts

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

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

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

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

Compute the boundaries:

\frac{1}{e}

= \frac{1}{e}

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\int_{0}^{3} x^{3} - 6 x^{2} + 8 x d x

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What is the integral from 0 to 1 of xsinh(x) ?
The integral from 0 to 1 of xsinh(x) is 1/e