Figure N7–5SOLUTION: To get an accurate answer for the area , use the calculator
to find the two intercepts, storing them as P and Q, and then evaluate the
integral: ,
which is accurate to three decimal places.
BC ONLYRegion Bounded by a Parametric Curve
If x and y are given parametrically, say by x = f (θ), y = g(θ), then to evaluate
, we express y, dx, and the limits a and b in terms of θ and dθ, then
integrate. Remember that we define dx to be x′(θ) dθ, or f ′(θ) dθ.
See Questions 14, 15, and 44 in the Practice Exercises.
BC ONLY