What is expand xarctan(u)(xdu+udx) ?

The solution to expand xarctan(u)(xdu+udx) is x^2arctan(u)du+xuarctan(u)dx

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expand xarctan(u)(xdu+udx)

expand

x arctan (u) (x d u + u d x)

x^{2} arctan (u) d u + xu arctan (u) d x

Solution steps

x arctan (u) (x d u + u d x)

Apply the distributive law:

a (b + c) = ab + a c

a = x arctan (u), b = x d u, c = u d x

= x arctan (u) x d u + x arctan (u) u d x

= xx arctan (u) d u + xu arctan (u) d x

xx arctan (u) d u = x^{2} arctan (u) d u

= x^{2} arctan (u) d u + xu arctan (u) d x

d x (x + \frac{1}{x})

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

(3 x + 4) + (2 x + 1)

(3 - 4 m) s q u a re

\frac{( x + 2 ) ( x - 2 )}{x ( x + 6 )}

What is expand xarctan(u)(xdu+udx) ?
The solution to expand xarctan(u)(xdu+udx) is x^2arctan(u)du+xuarctan(u)dx