First set of correct answers will get full rating! Thanks! Use a combination of
ID: 3341824 • Letter: F
Question
First set of correct answers will get full rating! Thanks!
Use a combination of substitution and parts to evaluate the integral : Substitution, let w = .Note: We use w here for the substitution instead of the more common variable u, since it is convenient for us to reserve u and v for the upcoming integration by parts. It follows that .To successfully continue with substitution, it is now necessary to rewrite dx strictly in terms of w. Thus dx = f(w)dw, where f(w) = . Complete the substitution, to get . Use integration by parts to integrate .This gives (as a function of w), . Substitute for w, to get .Explanation / Answer
1) f(w) = 2w/25
g(w) = 2/25 w sinw
2) u = 2w/25
-2w/25 cosw +2/25 sinw
3) (-2sqrt(x))/5 cos5sqrt(x) +2/25 sin5sqrt(x)
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