What is the integral of xcosh(x) ?

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

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integral of xcosh(x)

\int x 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

f (x) = x^{3} cos (x)

\frac{d}{d x} ((sin (x))^{\frac{1}{3}})

24 e^{- 7 t} - 5 e^{- 23 t}

\frac{d y}{d t} - 2 y = 4 - t

\frac{d}{d x} (- \frac{1}{4 ( 1 + x ) ^{\frac{3}{2}}})

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