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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

cos (y) d x - (x sin (y) - e^{y}) d y

\frac{1}{1 - x}

27 (c + d)^{3} - e^{3}

π (4 - 2 x)^{2}

\frac{2 ( x + h ) + 1}{3 ( x + h ) - 5}

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