please help me with calculus problem! Thank you very much!

PART.A

(1 point) See a similar example [.PDF) The goal of this problem is to nd the area inside one leaf of the four-leaved rose 1\" : 6 (:08 23 PART 1: Making use of symmetry; the area of one leaf of the four-leaved rose is represented by the following integral from Uto 77/4: ir/tl / as: dt 0 Fit! in the biank with the appropriate integrand, written as a function of if (use t in place of 9). You do not need to simpiiij/ your answer. PART 2: Find the area of one leaf of the four-leaved rose. Area = ::: The goal of this problem is to nd the area inside the lemniscate T2 = 25 (:03 29. PART 1: There are several ways in which symmetry of the region can be used when setting up an integral which represents the area inside this lemniscate. One possible integral is the following, which integrates the angle from ?l'/4 to \"if/4: 1r/4 / 555 (it 'irf4 Fiii in the biank with the appropriate integrand, written as a function of it (use 35 in piece of 9). You do not need to simpiil your answer. PART 2: Find the area of the lemniscate. Area = =33 The goal of this problem is to nd the area shared by the circles T = 7 (:05 9 and i" = 7 sin 6. PART 1: Making use of symmetry, the shared area can be represented by the following integral from U to \"Ir/4: 'ir/4 / 535 dt 0 Fiii in the blank with the appropriate integrand, written as a function of t (use t in piece of 9). You do not need to simpiity PART 2: Find the area shared by the circles. Area = ===