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3) a) (7 points) Find the general antiderivative of the function g(x) = 715x + 1 + 5 35 x 1+ x 2 ANTIDERIVATIVE :

3) a) (7 points) Find the general antiderivative of the function g(x) = 715x + 1 + 5 35 x 1+ x 2 ANTIDERIVATIVE : b) i) (4 points) Find the general antiderivative of the function f(x) = 2cos ( x ) -6sin (3x). ANTIDERIVATIVE : ii) (3 points) Find the solution to the following initial value problem. F' (x) = 2cos (x) - 6sin (3x) (F(0 ) = 5

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