dutch east india company commander came to south africa in the mid 17th century.
who commander came to south africa in the mid 17th century?
dutch east india company
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the power rule for integrals was first demonstrated in a geometric form by italian mathematician bonaventura cavalieri in the early 17th century for all positive integer values of formula_72, and during the mid 17th century for all rational powers by the mathematicians pierre de fermat, evangelista torricelli, gilles de roberval, john wallis, and blaise pascal, each working independently. at the time, they were treatises on determining the area between the graph of a rational power function and the horizontal axis. with hindsight, however, it is considered the first general theorem of calculus to be discovered. the power rule for differentiation was derived by isaac newton and gottfried wilhelm leibniz, each independently, for rational power functions in the mid 17th century, who both then used it to derive the power rule for integrals as the inverse operation. this mirrors the conventional way the related theorems are presented in modern basic calculus textbooks, where differentiation rules usually precede integration rules.
power rule