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Questions and Answers
What is the fundamental theorem of calculus?
What is the fundamental theorem of calculus?
The fundamental theorem of calculus states that if a function is continuous on a closed interval [a, b] and F is an antiderivative of f on [a, b], then the definite integral of f from a to b is equal to F(b) - F(a).
What is the derivative of $f(x) = e^x$?
What is the derivative of $f(x) = e^x$?
$f'(x) = e^x$
What is the area under the curve $y = x^2$ from x=0 to x=3?
What is the area under the curve $y = x^2$ from x=0 to x=3?
The area is 9 square units
What is the limit of $rac{x^2 - 4}{x - 2}$ as x approaches 2?
What is the limit of $rac{x^2 - 4}{x - 2}$ as x approaches 2?
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