What is 2te^{-0.5t}*dt ?

The solution to 2te^{-0.5t}*dt is (2tdt)/(e^{0.5t)}

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simplify 2te^{-0.5t}*dt

simplify

2 t e^{- 0.5 t} \cdot d t

\frac{2 t d t}{e ^{0.5 t}}

Solution steps

2 t e^{- 0.5 t} d t

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{0.5 t}} t d t

Multiply fractions:

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

= \frac{1 \cdot 2 t d t}{e ^{0.5 t}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 t d t}{e ^{0.5 t}}

26 (226)

(2.47 \cdot 1 0^{- 4}) \cdot 235

3.7 \cdot 1 0^{- 8}