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What is the fundamental theorem of calculus and who independently developed it in the late 17th century?
What is the fundamental theorem of calculus and who independently developed it in the late 17th century?
Isaac Newton and Gollfried Leibnitz independently developed the fundamental theorem of calculus in the late 17th century.
What is the formula for the definite integral of a continuous real valued function f(x) over a closed interval [a, b]?
What is the formula for the definite integral of a continuous real valued function f(x) over a closed interval [a, b]?
b \int f(x)dx = F(b) - F(a) a
What does the definite integral of a function f(x) over the range x = a to x = b represent geometrically?
What does the definite integral of a function f(x) over the range x = a to x = b represent geometrically?
The integral of the function f(x) over the range x = a to x = b gives the area under the curve between the ordinates x = a and x = b.
What are the basic tools of calculus that have numerous applications in Science and Engineering?
What are the basic tools of calculus that have numerous applications in Science and Engineering?
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What is a multiple integral and how does it generalize the definite integral?
What is a multiple integral and how does it generalize the definite integral?
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