What continental European mathematician-philosopher did Isaac Newton engage in a public dispute with over the invention of calculus?

What continental European mathematician-philosopher did Isaac Newton engage in a public dispute with over the invention of calculus? Correct Answer Gottfried Wilhelm Leibniz

Isaac Newton engaged in a public dispute with mathematician Gottfried Wilhelm Leibniz over the invention of calculus. It is now well established that Newton developed the calculus before Leibniz seriously pursued mathematics, but Leibiz did later arrive at his development of calculus independently from Newton.
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The line integral $$\int\limits_{{{\text{P}}_1}}^{{{\text{P}}_2}} {\left( {{\text{ydx}} + {\text{xdy}}} \right)} $$   for P1(x1, y1) to P2(x2, y2) along the semicircle P1, P2 shown in the figure is
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