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**Area as a definite integral**

**Algorithm for area calculation using horizontal strips**

**Area calculation using horizontal strips for modulus function**

**Impact of sign on area definition change according to sign of function**

**Find the area of the region bounded by the parabola `y^2 = 2x` and the line `x - y = 4`**

**Examples: Find the area of the region bounded by the curve `y^2 = 2y - x` and the y-axis.**

**Area of symmetrical graphs**

**Find the area of the region bounded by the ellipse `x^2 / a^2 + y^2 / b^2 = 1`**

**Integration of sin and cos function in different intervals**

**Examples: f(x) = x for x > 0 and f(x) = x^2 for x < 0; find area with x axis from x = -2 and x = 3.**