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= = Write an expression for the function, f(x), if it is known that f'(x) = cos(x2) and f(2) = 7. Give your answer using the form below. Hint: See example 5 in section 6.1 of the textbook. x f(x) = C + A(t) dt = + a C= a = A(t) =

(a) Write an expression for the function, F(x), if it is known that F'(x) = e-x2 and FCO) = 5 . Give your answer using the form below. Hint: See example 5 in section 6.1 of the textbook. х F(x) = C + = 6 A(t) dt C= a = A(t) = (b) Estimate the value F(3) using the Left Hand Sum with n = 20. (Round your answer to three decimal places. **) F(3) = ** You may need to use the numerical integration tool https://www.zweigmedia.com/RealWorld/in ... egral.html.