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Why Archimedes s sometime regarded as the inventor of integral calculus?

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One of the main applications of Integration is to find out area breaking the figure into infinite parts.

Archimedes is said to have developed THIS method of calculating area.
He tried to find out the areas of figures such as ellipses drawing many parallel lines and breaking the figure into rectangles and triangles.

In this way, he became the forerunner user of Integral Calculus.

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