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. Find the general antiderivative, F(x), of the function f(x) =dx3 +5x dx+ 7. . Find f(x) if P(x) = V/x? + % +9x2 .
. Find the general antiderivative, F(x), of the function f(x) =dx3 +5x dx+ 7. . Find f(x) if P(x) = V/x? + % +9x2 . Referring to #2, what is the particular antiderivative if f(1) = 3? . Evaluate [ (15* + 8t + 1) dt . Evaluate [ (T + 1)(T 5) dT . Evaluate f \\/; -(3x 1) d=x 4 . Evaluate f W dx . Approximate the area under the curve y = v/ x 3 on the interval [3, 15] using 4 subintervals and right endpoints. . Find the exact area under the curve y = 3 x? on the interval 2 [ 1,2]. In other words, evaluate f l(3 x?) dz. Do not use a calculator! (You can check your answer using your graphing calculator.) Evaluate the given integrals. You must define u, state du, write the integral in terms of u, write the antiderivative in terms of u, and then state your answer. 10. S (x + 2) . V x2 + 4x - 9 de 11. x5 - ap (7+,x) Re-work a few problems using the Trapezoidal Rule and Simpson's Rule
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