## Lecture 2 Application of Integrals Class 12 Maths

1. Find the area lying in the first quadrant and bounded by the circle $${x^2} + {y^2} = 4$$ and the lines $$x = 0$$ and $$x = 2$$.
2. Find the area of the region bounded by the curve $${y^2} = 4x$$, y-axis and the line $$y = 3$$.
3. Find the area of the region bounded by the two parabolas $$y = {x^2}$$ and $${y^2} = x$$.
4. Find the area lying above x-axis and included between the circle $${x^2} + {y^2} = 8x$$ and the parabola $${y^2} = 4x$$.
5. In figure, AOBA is the part of the ellipse $$9{x^2} + {y^2} = 36$$ in the first quadrant such that $$OA = 2$$ and $$OB = 6$$. Find the area between the arc AB and the chord AB.