What is the integral of x*sinh(x) ?

The integral of x*sinh(x) is xcosh(x)-sinh(x)+C

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integral of x*sinh(x)

\int x \cdot sinh (x) d x

x cosh (x) - sinh (x) + C

Solution steps

\int x sinh (x) d x

Apply Integration By Parts

: x cosh (x) - \int cosh (x) d x

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

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

= x cosh (x) - sinh (x)

Add a constant to the solution

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

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What is the integral of x*sinh(x) ?
The integral of x*sinh(x) is xcosh(x)-sinh(x)+C