simplify ce^{-st}dt

Solution

simplify

c e^{- s t} d t

\frac{c d t}{e ^{s t}}

Solution steps

c e^{- s t} d t

Apply exponent rule:

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

= c \frac{1}{e ^{s t}} d t

Multiply fractions:

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

= \frac{1 \cdot c d t}{e ^{s t}}

Multiply:

1 \cdot c = c

= \frac{c d t}{e ^{s t}}

6 x^{5} (2 x^{4})

5.25 \cdot 1 0^{- 4}

\frac{e ^{3 x}}{e ^{- 5 x}}

999.9999800000000 \dots (3.2 \cdot 1 0^{- 3})

2 (r + 1) (4 r - 3)