What is expand (x^2+5x)cos(x)dx ?

The solution to expand (x^2+5x)cos(x)dx is x^2cos(x)dx+5xcos(x)dx

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expand (x^2+5x)cos(x)dx

expand

(x^{2} + 5 x) cos (x) d x

x^{2} cos (x) d x + 5 x cos (x) d x

Solution steps

(x^{2} + 5 x) cos (x) d x

= cos (x) (x^{2} + 5 x) d x

Apply the distributive law:

a (b + c) = ab + a c

a = cos (x) d x, b = x^{2}, c = 5 x

= cos (x) d x x^{2} + cos (x) d x \cdot 5 x

= x^{2} cos (x) d x + 5 x cos (x) d x

(3 x - 5) \circ

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

\frac{( x + 3 ) ( x + 2 )}{10}

(y + 1) (1 - v y) (v d y + y d v)

e^{(x + 3)^{2}}

What is expand (x^2+5x)cos(x)dx ?
The solution to expand (x^2+5x)cos(x)dx is x^2cos(x)dx+5xcos(x)dx