Previous Problem Problem List Next Problem (1 point) Consider the integral / 8 x3 (x4 + 1) dx. In the following, we will evaluate the integral using two methods. A. First, rewrite the integral by multiplying out the integrand: 8x3 (x# + 1) dx =/ dx Then evaluate the resulting integral term-by-term: 8 x" ( x* + 1) dx = B. Next, rewrite the integral using the substitution w = x* + 1: 8x3 ( x4 + 1) dx =/ dw Evaluate this integral (and back-substitute for w) to find the value of the original integral: 8x3 ( x+ + 1 ) dx = C. How are your expressions from parts (A) and (B) different? What is the difference between the two? (Ignore the constant of integration.) (answer from B)-(answer from A) = Are both of the answers correct? (Be sure you can explain why they are!)