What is e^{-2x}*cos(8-3x^2)dx ?

The solution to e^{-2x}*cos(8-3x^2)dx is (cos(-3x^2+8)dx)/(e^{2x)}

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simplify e^{-2x}*cos(8-3x^2)dx

simplify

e^{- 2 x} \cdot cos (8 - 3 x^{2}) d x

\frac{cos ( - 3 x ^{2} + 8 ) d x}{e ^{2 x}}

Solution steps

e^{- 2 x} cos (8 - 3 x^{2}) d x

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} cos (- 3 x^{2} + 8) d x

Multiply fractions:

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

= \frac{1 \cdot cos ( 8 - 3 x ^{2} ) d x}{e ^{2 x}}

Multiply:

1 \cdot cos (8 - 3 x^{2}) = cos (8 - 3 x^{2})

= \frac{cos ( - 3 x ^{2} + 8 ) d x}{e ^{2 x}}

0.25 \cdot 1 0^{- 1}

(((- 2)^{2})^{2})^{2}

4.93 \cdot 1 0^{- 5}

\frac{1}{\frac{1}{2}} e^{- \frac{2}{\frac{1}{2}}}

e^{- (\frac{3}{4}) \cdot π}

What is e^{-2x}*cos(8-3x^2)dx ?
The solution to e^{-2x}*cos(8-3x^2)dx is (cos(-3x^2+8)dx)/(e^{2x)}