What is te^{-3t}sqrt(1+sin(t)) ?

The solution to te^{-3t}sqrt(1+sin(t)) is (tsqrt(sin(t)+1))/(e^{3t)}

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simplify te^{-3t}sqrt(1+sin(t))

simplify

t e^{- 3 t} 1 + sin (t)

\frac{t sin ( t ) + 1}{e ^{3 t}}

Solution steps

t e^{- 3 t} 1 + sin (t)

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} t sin (t) + 1

Multiply fractions:

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

= \frac{1 \cdot t 1 + sin ( t )}{e ^{3 t}}

Multiply:

1 \cdot t = t

= \frac{t sin ( t ) + 1}{e ^{3 t}}

2.7 \cdot 1 0^{- 2}

\frac{e ^{- y}}{e ^{- x}}

(e^{- x} ln (x)) (x e^{- x})

\frac{1}{4} (2 x^{2} + 1)^{- \frac{1}{5}} (24 x)

e^{x} (e^{- 2 x})

What is te^{-3t}sqrt(1+sin(t)) ?
The solution to te^{-3t}sqrt(1+sin(t)) is (tsqrt(sin(t)+1))/(e^{3t)}