Evaluate the integral 10 2 Note: Use an upper-case "C" for the constant of integration. 60e 2t 16 -2t .e + 301² 4 · e -2t + 60t 8 [-10t -2t · e -10t³e-2t dt + +CA

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Describe a first step in integrating dx. x2 - 6х + 34 Choose the correct answer below. O A. Use u-substitution with u = x2. O B. Factor the denominator. O C. Split the fraction into parts. O D. Complete the square on x - 6x + 34. O E. Use u-substitution with u =x2 - 6x + 34.

Step 1 When evaluating Integrals of the form tutx))"u'x) de- du, (n -1), we use an extension of the Powers of x Formula. This formula is called the Power Rule for Integration. + C, (n -1) n+1 Therefore, any Integrand that we can rewrite as the product of a power of a function of x times the derivative of that function can be integrated using this formula. Notice that the Integrand, (8x + 16)*(24x), includes a power of u(x) - Bx+ 16. Let u- + 16, then du = 8 + 16 dx. Thus, we can use the Power Rule for Integration with the power n -4 Submit Skin (you cannot.come.back)