What is 1000te^{-0.06t}dt ?

The solution to 1000te^{-0.06t}dt is (1000tdt)/(e^{0.06t)}

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simplify 1000te^{-0.06t}dt

simplify

1000 t e^{- 0.06 t} d t

\frac{1000 t d t}{e ^{0.06 t}}

Solution steps

1000 t e^{- 0.06 t} d t

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{0.06 t}} t d t

Multiply fractions:

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

= \frac{1 \cdot 1000 t d t}{e ^{0.06 t}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000 t d t}{e ^{0.06 t}}

\frac{5 ^{2}}{2 !} e^{- 5}

- e^{- 2.25}

7 x - 3

(e^{x} - 3 e^{x}) \cdot (e^{x} - 3 e^{x})

- 6 t^{2} x^{2}

What is 1000te^{-0.06t}dt ?
The solution to 1000te^{-0.06t}dt is (1000tdt)/(e^{0.06t)}