ध्रुवीय वक्र r = 2a sin(θ) द्वारा घेरा गया कुल क्षेत्रफल है:

Let P1 : y = 2x2 and P2 : y = x2 + 18 be two parabolas. If the area of the bounded region enclosed between P1 and P2 is four times the area of the bounded region enclosed between the line y = αx (α > 0) and P1, then find the value of α.

The area enclosed by the curves y = x3 and y = √x is: