What is the integral from 0 to 2 of ysinh(y) ?

The integral from 0 to 2 of ysinh(y) is (e^4+3)/(2e^2)

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integral from 0 to 2 of ysinh(y)

\int_{0}^{2} y sinh (y) d y

\frac{e ^{4} + 3}{2 e ^{2}}

Decimal

3.89753 \dots

Solution steps

\int_{0}^{2} y sinh (y) d y

Apply Integration By Parts

= [y cosh (y) - \int cosh (y) d y]_{0}^{2}

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

= [y cosh (y) - sinh (y)]_{0}^{2}

Compute the boundaries:

\frac{e ^{4} + 3}{2 e ^{2}}

= \frac{e ^{4} + 3}{2 e ^{2}}

What is the integral from 0 to 2 of ysinh(y) ?
The integral from 0 to 2 of ysinh(y) is (e^4+3)/(2e^2)