A student evaluated -4 + x for x = 9 1/2 and got an answer of 5 1/2. What might the student have done wrong?
2 answers:
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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.
Learn more about polar curve from
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In order to subtract fractions, you need the denominators (bottom number) to be the same. 
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