Find the derivative of the function. sin(x) In (5 + 3v) dv J cos(x) y'(x) = XEXAMPLE 5 Evaluate the integral below. 10 e* dx SOLUTION The function f(x) = ex is continuous everywhere and we know that an antiderivative is F(x) = e*, so Part 2 of the Fundamental Theorem gives 10 e* dx = F(10) - F(1) = Notice that the Fundamental Theorem of Calculus says we can use any antiderivative F of f. So we may as well use the simplest one, namely F(x) = e*, instead of e* + 7 or e* + C.Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. du 4 - 3x 1+ 42 = Y