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1. (6 pts.) (a) Find the solution of the following initial value problem. f'(x) =5ex2x;f(0) =7 1 d 2x+1 x 4 (b) Find / 1

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1. (6 pts.) (a) Find the solution of the following initial value problem. f'(x) =5ex2x;f(0) =7 1 d 2x+1 x 4 (b) Find / 1 3. (8 pts.) Use an appropriate substitution to evaluate the following indefinite integrals. (a) (2x -3 ) ( x2 - 3x + 5 ) 3 dx ( b ) X dx x 2 + 1 (c) ( 2x + 1 ) et +x dx

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