Question 1:

Let f be twice differentiable with f(0) = 8, f(1) = 9, and f'(1) = 3. Evaluate the integral Sof" (x) du.Let AT/24 I = tan"(4x) sec(4x) da. Express the value of AT /24 tan (4x) sec(4x) da in terms of I. tan (4x) sec(4x) de = 0Evaluate the integral 9(cos (@) + sin(@)) dac sin (2x)For each of the following integrals find an appropriate trigonometric substitution of the form a = f (t) to simplify the integral. a. (323 - 6)8/2 da b. V323 + 4 = *V5x2 - 50x + 117 de 9 = d. -26 - 82 - 32x