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

The integral of x*cosh(x) is xsinh(x)-cosh(x)+C

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integral of x*cosh(x)

\int x \cdot cosh (x) d x

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

Solution steps

\int x cosh (x) d x

Apply Integration By Parts

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

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

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

= x sinh (x) - cosh (x)

Add a constant to the solution

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

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What is the integral of x*cosh(x) ?
The integral of x*cosh(x) is xsinh(x)-cosh(x)+C