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[DOCX File]§4.1 Maximum and Minimum Values - College of Arts and ...
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If F is an antiderivative of f on an interval I , then the most general antiderivative of f on I is. F x +C , where C is an arbitrary constant. ... Find the most general antiderivative of f x = x n . d dx 1 n+1 d dx x n+1 = 1 n+1 n+1 x n = x n . The most general antiderivative is .
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[DOCX File]nh01912397.schoolwires.net
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Evaluate 1 5 x 2x-1 dx When using this, it is possible for the upper limit of integration to be smaller than the lower limit. If this happens, don’t rearrange the limits.
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[DOC File]AP Calculus Free-Response Questions
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antiderivative. b. Find the volume of the solid generated by revolving R about the y-axis by setting up and. evaluating a definite integral. Your work must include an antiderivative. 107. A function f is continuous on the closed interval [-3,3] such that f(-3) = 4 and f(3) = 1. The functions. f’ and f” have the properties given in the table ...
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Weebly
The graph of f is given and g is an antiderivative of f . If g 3 =6 , find g(0) .(No Calculator) Find . d dx 0 x 2 sin t 3 dt (No Calculator) Find . d dx 0 sin x 2tdt (No Calculator) If . h(t) is the rate of change of the height of a conical pile of sand measured in feet per hour, what does 0 5 h t dt . represent? Answer in correct units. (No ...
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[DOC File]Derivatives
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xa f(x) dx , it is useful to let u = xa. (Certainly not always, as shown in the example above) 3. Partial Fractions. Ex. 1 = A(x – 5) + B(x - 2) Let x = 5, then 1 = 3B , so B = 1/3. Let x = 2, then 1 = - 3A, so A = - 1/3. So, Note: If the highest power of the term in the numerator is greater than or equal to the term in the denominator, you ...
tan x antiderivative

[DOCX File]Louisiana State University
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find the antiderivative of . f . with respect to . x is the indefinite integral f x dx . Every time an indefinite integral sign appears it is followed by a function called the . integrand. and the differential (dx when x is the independent variable).
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Antiderivative of tanx dx