What is expand (sinh(x))(coth^2(x)+csch^3(x))dx ?

The solution to expand (sinh(x))(coth^2(x)+csch^3(x))dx is coth^2(x)sinh(x)dx+csch^3(x)sinh(x)dx

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expand (sinh(x))(coth^2(x)+csch^3(x))dx

expand

(sinh (x)) (coth^{2} (x) + csch^{3} (x)) d x

coth^{2} (x) sinh (x) d x + csch^{3} (x) sinh (x) d x

Solution steps

(sinh (x)) (coth^{2} (x) + csch^{3} (x)) d x

Apply the distributive law:

a (b + c) = ab + a c

a = (sinh (x)) d x, b = coth^{2} (x), c = csch^{3} (x)

= (sinh (x)) d x coth^{2} (x) + (sinh (x)) d x csch^{3} (x)

= (sinh (x)) coth^{2} (x) d x + (sinh (x)) csch^{3} (x) d x

Remove parentheses:

(a) = a

= coth^{2} (x) sinh (x) d x + csch^{3} (x) sinh (x) d x

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

t^{2} (a t + b) e^{t}

\frac{2 ( 3Δ x - 2 x - 1 )}{Δ x ( 1 - 2 x - 2Δ x ) ( 1 - 2 x )}

\frac{6 x ^{2} + 7 x - 3}{x ^{2} ( x + 5 )}

\frac{\partial}{\partial t} ((x) (a x - b x y))

What is expand (sinh(x))(coth^2(x)+csch^3(x))dx ?
The solution to expand (sinh(x))(coth^2(x)+csch^3(x))dx is coth^2(x)sinh(x)dx+csch^3(x)sinh(x)dx