simplify e^{-at}dt

Solution

simplify

e^{- a t} d t

\frac{d t}{e ^{a t}}

Solution steps

e^{- a t} d t

Apply exponent rule:

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

= \frac{1}{e ^{a t}} d t

Multiply fractions:

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

= \frac{1 \cdot d t}{e ^{a t}}

Multiply:

1 \cdot d t = d t

= \frac{d t}{e ^{a t}}

8.679 \cdot 1 0^{- 4}

2 e^{s i n (x)} \cdot e^{- s i n (x)}

l (t^{3} e^{- 2 t} sinh (4 t))

9.25 \cdot 1 0^{- 4}

\frac{1}{2 2 π} e^{- \frac{1}{2} (\frac{27 - 29.4}{2})^{2}}