Applications in Finding the Area Under Simple Curves - Circles, Ellipses, Lines, Parabolas
The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a.
Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4 , 1), B (6, 6) and C (8, 4).
Find the area of the smaller region bounded by the ellipse `x^2/a^2 + y^2/b^2 = 1` and the line `x/a + y/b = 1`
Find the area of the region in the first quadrant enclosed by x-axis, line x = `sqrt3` y and the circle x2 + y2 = 4.