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

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

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integral of x^2cosh(x)

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

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

Solution steps

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

Apply Integration By Parts

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

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

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

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

Add a constant to the solution

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

\int \frac{5}{3 + 7 x ^{2}} d x

\int (cos (x)) (ln (sin (x))) d x

\frac{d}{d t} (\frac{t}{t ^{2} + 1})

x \to 1 lim (x^{2} - 8 x - 1)

f (x) = \frac{e ^{x}}{3 + e ^{x}}

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