For the regions bounded by y = 6cosx and y = one-fourth x squared minus 7, the limits of integration, the expression representing the total area, and the total area are mathematically given as
A=27.03squnit
What are the limits of integration, the expression representing the total area, and the total area.?
Generally, the equation for expression is mathematically given as
y = 6cosx
y=(1/4)x^2-7
therefore
[tex]A=\int^{b}_a (f(x)-g(x))dx[/tex]
The limits are
a=0 b=2\pi
Hence
[tex]A=\int ^{2\pi}_0 (6cosx -((1/4)x^2-7))dx\\\\solving\\\\A=\int^{2\pi}_0 (6cosx -((1/4)x^2-7))dx[/tex]
A=27.03squnit
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