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Popular >

simplify e^{-θ}cos(2θ)dθ

Solution

simplify

e^{- θ} cos (2 θ) d θ

Solution

\frac{cos ( 2 θ ) d θ}{e ^{θ}}

Solution steps

e^{- θ} cos (2 θ) d θ

Apply exponent rule:

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

= \frac{1}{e ^{θ}} cos (2 θ) d θ

Multiply fractions:

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

= \frac{1 \cdot cos ( 2 θ ) d θ}{e ^{θ}}

Multiply:

1 \cdot cos (2 θ) = cos (2 θ)

= \frac{cos ( 2 θ ) d θ}{e ^{θ}}

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Frequently Asked Questions (FAQ)

What is e^{-θ}cos(2θ)dθ ?
The solution to e^{-θ}cos(2θ)dθ is (cos(2θ)dθ)/(e^θ)