In Exercises 5-16, find the area of the region.
One petal of \(r=4 \sin 3 \theta\)
Text Transcription:
r = 4 sin 3 theta
Step 1 of 5) DEFINITION Let ƒ(x) be a function defined on a closed interval 3a, b4 . We saythat a number J is the definite integral of ƒ over 3a, b4 and that J is the limit of the Riemann sums gnk =1 ƒ(ck) xk if the following condition is satisfied: Given any number P 7 0 there is a corresponding number d 7 0 such that for every partition P = 5x0, x1,c, xn6 of 3a, b4 with }P} 6 d and any choice of ck in 3xk-1, xk4, we have