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Johann Bernoulli 1667 – 1748 Johann Bernoulli 1667 – 1748 Johann Bernoulli was a Swiss mathematician and was one of the many prominent mathematicians in.

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Presentation on theme: "Johann Bernoulli 1667 – 1748 Johann Bernoulli 1667 – 1748 Johann Bernoulli was a Swiss mathematician and was one of the many prominent mathematicians in."— Presentation transcript:

1 Johann Bernoulli 1667 – 1748 Johann Bernoulli 1667 – 1748 Johann Bernoulli was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educated Leonhard Euler in his youth.

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8 Integration Symbol Lower limit of integration Upper limit of integration Integrand Variable of integration (dummy variable) Upper limit of sum Lower limit of sum Heights of rectangles Widths of rectangles

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10 We have the notation for integration, but we still need to learn how to evaluate the integral.

11 Example: = 10 – 8 + 4 = 6 10 8 4 Find

12 Example:

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