simplify e^{-t}*tdt

Solution

simplify

e^{- t} \cdot t d t

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

Solution steps

e^{- t} t d t

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot t = t

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

2 x - x^{2} 1 + \frac{( 1 - x ) ^{2}}{2 x - x ^{2}}

(3 x - 2)^{3} \cdot (3 y - 2)^{3}

0.693 (220 + 2 (10000)) (10 \cdot 1 0^{- 6})

e^{- 7.7}

(\frac{1 + x}{1 - x})