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Integral Calculus | Application of Integrals

What is the area of the portion of the curve y = sin x, lying between x = 0, y = 0 and x = 2π ?
What is the area of the parabola y2 = x bounded by its latus rectum?
What is the area of the triangle formed by the lines joining the vertex of the parabola x2 = 20y to the end of the latus rectum?
What is the area of the region bounded by |x| < 5, y = 0 and y = 8?
What is the area of the parabola y2 = 4bx bounded by its latus rectum?
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