What is expand (te^{ty}cos(2t)-3)dt ?

The solution to expand (te^{ty}cos(2t)-3)dt is e^{ty}tcos(2t)dt-3dt

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expand (te^{ty}cos(2t)-3)dt

expand

(t e^{t y} cos (2 t) - 3) d t

e^{t y} t cos (2 t) d t - 3 d t

Solution steps

(t e^{t y} cos (2 t) - 3) d t

= (e^{t y} t cos (2 t) - 3) d t

Apply the distributive law:

a (b - c) = ab - a c

a = d t, b = t e^{t y} cos (2 t), c = 3

= d tt e^{t y} cos (2 t) - d t \cdot 3

= e^{t y} t cos (2 t) d t - 3 d t

(1 - 2 e^{2 x}) (3 x + e^{2 x})

\frac{2 c ^{2}}{( 2 - c ) ^{2}}

\frac{1}{x ^{2} ( x ^{2} - 4 ) ^{2}}

(0.685 = 805 x + 40 y) 60

\frac{( x + 1 ) ( 2 x + 1 )}{10 x ( x - 3 )}

What is expand (te^{ty}cos(2t)-3)dt ?
The solution to expand (te^{ty}cos(2t)-3)dt is e^{ty}tcos(2t)dt-3dt