What is the integral of xsinh(x) ?

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

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integral of xsinh(x)

\int x 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

\int_{0}^{1} 6 (1 + x)^{5} d x

\frac{d}{d x} ((4 x)^{2})

\frac{\partial}{\partial z} (x^{2} + 3 yz + 4 x y)

n = 0 \sum \infty 6 (0.4)^{n}

\frac{d}{d x} (k y (x)^{2})

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