Question: Suppose the function y=h(x)is nonnegative and continuous on,, which implies that the area bounded by thegraph ofh and the x-axis on,equalsh(x)dxorydx.If the graph ofy=h(x)on,is traced
Suppose the function y=h(x)is nonnegative and continuous on,, which implies that the area bounded by thegraph ofh and the x-axis on,equalsh(x)dxorydx.If the graph ofy=h(x)on,is traced exactlyonce by the parametric equations x=f(t),y=g(t), for atb, then it follows by substitution that the area bounded byhis given by the equation below.h(x)dx=ydx=abg(t)f'(t)dt,if=f(a) and =f(b)or{:h(x)dx=bag(t)f'(t)dtif=f(b) and =f(a))Find the area of the region bounded by the astroid x=3cos3t,y=3sin3t, for 0t2as needed.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
