What is the integral of x^2sinh(x) ?

The integral of x^2sinh(x) is x^2cosh(x)-2(xsinh(x)-cosh(x))+C

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integral of x^2sinh(x)

\int x^{2} sinh (x) d x

x^{2} cosh (x) - 2 (x sinh (x) - cosh (x)) + C

Solution steps

\int x^{2} sinh (x) d x

Apply Integration By Parts

: x^{2} cosh (x) - \int 2 x cosh (x) d x

= x^{2} cosh (x) - \int 2 x cosh (x) d x

\int 2 x cosh (x) d x = 2 (x sinh (x) - cosh (x))

= x^{2} cosh (x) - 2 (x sinh (x) - cosh (x))

Add a constant to the solution

= x^{2} cosh (x) - 2 (x sinh (x) - cosh (x)) + C

f (x) = 2 x^{- 2} - 3 x^{- \frac{7}{3}}

\int 3 x x - 5 d x

\frac{\partial}{\partial x} (arcsin (x))

\frac{d}{d x} (4 x - 5)

x^{2} + 2 x, 1

What is the integral of x^2sinh(x) ?
The integral of x^2sinh(x) is x^2cosh(x)-2(xsinh(x)-cosh(x))+C