#### Area Under Curve Tutorial

## JEE Main Archive

In this tutorial unsolved questions those were asked in JEE Main are given. Every question that is listed below is the previous year’s JEE Main unsolved problems. Attempt these questions to have the taste of the JEE Main Exam.

**Q.1:** If the area bounded by the x- axis, curve y = f(x) and the lines x = 1, x = b is equal to (b^{2} + 1)^{1/2} – 2^{1/2} for all b > 1, then f(x) is equal to_.
**[2002]**

**Q.2:** The area of the region bounded by the curves y = | x – 1| and y = 3 – |x| is – **[2003]**

**Q.3:** The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x- axis is – **[2004]**

**Q.4:** Area of the greatest rectangle that can be inscribed in the ellipse (x/a)^{2} + (y/b)^{2} = 1 is –
**[2005]**

**Q.5:** The parabolas y^{2} = 4x and x^{2} = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom; then S1 : S2 : S3 is – **[2006]**

**Q.6:** The area enclosed between the curves y2 = x and y = |x| is – **[2007]**

**Q.7:** The area of the plane region bounded by the curves x + 2y^{2} = 0 and x + 3y^{2} = 1 is equal to – **[2008]**

**Q.8:** The area of the region bounded by the parabola (y – 2)^{2} = x – 1, the tangent to the parabola at the point (2, 3) and the x – axis is – **[2009]**