What is expand f(x^2-x+2)sin(3x)dx ?

The solution to expand f(x^2-x+2)sin(3x)dx is fx^2sin(3x)dx-fxsin(3x)dx+2fsin(3x)dx

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expand f(x^2-x+2)sin(3x)dx

expand

f (x^{2} - x + 2) sin (3 x) d x

f x^{2} sin (3 x) d x - f x sin (3 x) d x + 2 f sin (3 x) d x

Solution steps

f (x^{2} - x + 2) sin (3 x) d x

= f sin (3 x) (x^{2} - x + 2) d x

Distribute parentheses

= f sin (3 x) d x x^{2} + f sin (3 x) d x (- x) + f sin (3 x) d x \cdot 2

Apply minus-plus rules

+ (- a) = - a

= f x^{2} sin (3 x) d x - f x sin (3 x) d x + 2 f sin (3 x) d x

\frac{( x + 10 )}{( x - 1 ) ^{2}}

((2 x^{2} - 5 x + 1) \cdot (2 x - 3)) 3

(3 x + 7) e^{x}

ln (ln (x^{3} (x + 1)))

b^{2} (4 b^{2} - 2 b = 2)

What is expand f(x^2-x+2)sin(3x)dx ?
The solution to expand f(x^2-x+2)sin(3x)dx is fx^2sin(3x)dx-fxsin(3x)dx+2fsin(3x)dx