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We have,`22y=5x+7` <br> `rArry=(5x)/2+7/2` <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_MATH_XII_C08_S01_010_S01.png" width="80%"> <br> `:. " Area of shaded region "=1/2int_(2)^(8)(5x+7)dx=1/2[5. (x^(2))/2+7x]_(2)^(8)` <br> `=1/2[5.32+7.8-10-14]1/2[160+56-24]` <br> `=192/2=96" sq units"`**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.**