We proved that the Fundamental Theorem of Calculus is true by looking at the change in the area as X increases by a value of h. We rediscovered that the value of A(x)is equal to the derivative of f(t), which is the function "inside" of the integral. From there, we were able to use the second part of the FTC, which says that the value of the integral from a to b is the difference between the values of the derivatives of points a and b. After that, practice was done to help us remember how to solve for the anti derivative.
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We proved that the Fundamental Theorem of Calculus is true by looking at the change in the area as X increases by a value of h. We rediscovered that the value of A(x)is equal to the derivative of f(t), which is the function "inside" of the integral. From there, we were able to use the second part of the FTC, which says that the value of the integral from a to b is the difference between the values of the derivatives of points a and b. After that, practice was done to help us remember how to solve for the anti derivative.
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