You replace the the variables c and d with 3 and -5 and get an answer of 764. Hope you can understand the work here!
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The area that is enclosed by the curve defined by the polar equation r = sin θ sin(4θ). can be solved by using the formula of A= ∫[f(θ)]²dθ.
Note also that this all given polar function can be evaluated from a limit 0 to 2 π.
First we sketch the polar curve which is r=sin4θ
Then Derive a Polar Curve where:
r = x² + y²
tan⁻¹
The graph for r=sin4θ is given in the image attached.
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