Suppose the function y = h(x) is nonnegative and continuous on (a.B), which implies that the area bounded by the graph of h and the x-axis on [a.p] equals h(x) dx or ay dx. If the graph of y=h(x) on [a,b] is traced exactly once by the parametric equations x = f(t), y = g(t), for a st≤ b, then it follows by substitution that the area bounded by h is given by the equation below. [ n(x) dx = Sy dx = g(t) f(t) dt, if a = f(a) and ß= f(b) (or Find the area of the region bounded by the astroid x = 9 cos ³t, y=9 sin ³t, for 0 st≤ 2. Click the icon to view an example of an astroid graph. h(x) dx = g(1) f(t) dt, if a = f(b) and p = f(a)) The area is (Type an exact answer, using x as needed.)

Suppose the function y = h(x) is nonnegative and continuous on (a.B), which implies that the area bounded by the graph of h and the x-axis on [a.p] equals h(x) dx or ay dx. If the graph of y=h(x) on [a,b] is traced exactly once by the parametric equations x = f(t), y = g(t), for a st≤ b, then it follows by substitution that the area bounded by h is given by the equation below. [ n(x) dx = Sy dx = g(t) f(t) dt, if a = f(a) and ß= f(b) (or Find the area of the region bounded by the astroid x = 9 cos ³t, y=9 sin ³t, for 0 st≤ 2. Click the icon to view an example of an astroid graph. h(x) dx = g(1) f(t) dt, if a = f(b) and p = f(a)) The area is (Type an exact answer, using x as needed.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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