Consider the following functions. G(x) = 6x2; f(x) = 12x (a) Verify that G is an antiderivative of f. (1) G(x) is an antiderivative of f(x) because f '(x) = G(x) for all x. (2) G(x) is an antiderivative of f(x) because G(x) = f(x) + C for all x. (3) G(x) is an antiderivative of f(x) because f(x) = G(x) + C for all x. (4) G(x) is an antiderivative of f(x) because G(x) = f(x) for all x. (5)G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x. (b) Find all antiderivatives of f. (Use C for the constant of integration.) (c) in photo
Consider the following functions. G(x) = 6x2; f(x) = 12x (a) Verify that G is an antiderivative of f. (1) G(x) is an antiderivative of f(x) because f '(x) = G(x) for all x. (2) G(x) is an antiderivative of f(x) because G(x) = f(x) + C for all x. (3) G(x) is an antiderivative of f(x) because f(x) = G(x) + C for all x. (4) G(x) is an antiderivative of f(x) because G(x) = f(x) for all x. (5)G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x. (b) Find all antiderivatives of f. (Use C for the constant of integration.) (c) in photo
Consider the following functions. G(x) = 6x2; f(x) = 12x (a) Verify that G is an antiderivative of f. (1) G(x) is an antiderivative of f(x) because f '(x) = G(x) for all x. (2) G(x) is an antiderivative of f(x) because G(x) = f(x) + C for all x. (3) G(x) is an antiderivative of f(x) because f(x) = G(x) + C for all x. (4) G(x) is an antiderivative of f(x) because G(x) = f(x) for all x. (5)G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x. (b) Find all antiderivatives of f. (Use C for the constant of integration.) (c) in photo
(1) G(x) is an antiderivative of f(x) because f'(x) = G(x) for all x.
(2) G(x) is an antiderivative of f(x) because G(x) = f(x) + C for all x.
(3) G(x) is an antiderivative of f(x) because f(x) = G(x) + C for all x.
(4) G(x) is an antiderivative of f(x) because G(x) = f(x) for all x.
(5)G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Find all antiderivatives of f. (Use C for the constant of integration.)
(c) in photo
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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