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 transcript:

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.

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

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

Example: = 10 – = Find

Example:

Examples: