help 1) 2) 3) Find an antiderivative F(x) of f(x) = 1 + 14x5. F(x) =...
6 (1 point) Consider the function f(x) = 1 Let F(2) be the antiderivative of f(x) with F(1) = 0. Then F(3) equals 1111
that f'(2) is continuous and that F(x) is an antiderivative of f(1). the following table of values: 6 f(x) F() r=0 = 2 r = 4 1 = 6 -2 1 -4 6 2. -3 5 6 -4 2 3 7 (a) Evaluate [u(z) – f(x) – 3)?f'(x)da. b) Evaluate ſz, za f'(x)dx
Substitute appropriately from step 2 to write the summation with index j = 1. È (19) - (0-2). (Ex-1) ju ;2 - 37/3 32 j1 = 1 Submit Skip (you cannot come back)
Find an antiderivative F(x) of f(x) = 2 − 3e^x so that F(1) = 4. show work
Find the most general antiderivative of f(x) = (3−4x)^−3 − (1 + x^2)^−1 SHOW ALL WORK
Find an antiderivative of the function f(x) = 2x® (3x? +4)? What is a possible antiderivative of the given function? O A. F(x) = 6 (3x® + 4) 3 OB. F(x) = (3x® + 4) 3 OC. F(x) = (3x +4) 3 OD. F(x) = § (3x?+4) 3
Find an antiderivative of the following function. f(x) = ** - Enclose numerators and denominators in parentheses. For example, (a - b)/(1 + n). An antiderivative is Fºx = (1/5)*x^5+2/(15% ab.
3) Suppose F(x) is an antiderivative of f(x). Use the graph of the functionf(x) below to answer the following: flx) a) Approximate f'(6), and explain/show how you arrived at your answer 6 4 3 2 b) Explain/show why F'(6) 2 1 2 3 4 5 6 7 c) Approximate o f(x)dx, and explain/show how you arrived at your answer. d) Explain/show why f'(x)dx-3.
Find the most general antiderivative of f(x) = (3 – 4x) -3 – (1 + x2)-1
Problem 5 (7 point) Suppose that f'(x) is continuous and that F(x) is an antiderivative of f(x). You are given the following table of values: r=0 2 = 2 * = 4 x = 6 -2 6 f(x) 6 F(x) 7 2 -4 -3 2 -4 5 3 (a) Evaluate | ((z) – 3)s -3)?f'(x)dx. (b) Evaluate (* 25 r* f" ()dx