What is sin(2x)e^{-3(t-x)}dx ?

The solution to sin(2x)e^{-3(t-x)}dx is (sin(2x)dx)/(e^{3(t-x))}

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simplify sin(2x)e^{-3(t-x)}dx

simplify

sin (2 x) e^{- 3 (t - x)} d x

\frac{sin ( 2 x ) d x}{e ^{3 (t - x)}}

Solution steps

sin (2 x) e^{- 3 (t - x)} d x

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{3 (t - x)}} sin (2 x) d x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot sin ( 2 x ) d x}{e ^{3 (t - x)}}

Multiply:

1 \cdot sin (2 x) = sin (2 x)

= \frac{sin ( 2 x ) d x}{e ^{3 (t - x)}}

(2000) (1.602 \cdot 1 0^{- 19})

2.05 \cdot 73 0^{- 0.18}

(5^{\frac{3 x}{6}})^{- 6 = 1}

(e^{- 2 x}) (e^{- 2 x} - 2 x)

\frac{2}{2}

What is sin(2x)e^{-3(t-x)}dx ?
The solution to sin(2x)e^{-3(t-x)}dx is (sin(2x)dx)/(e^{3(t-x))}