Hint: Divide the numerator by the denominator
http://rogercortesi.com/eqn/tempimagedir/eqn3435.png
Answer key at book:
6215/12
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Hint: Divide the numerator by the denominator
http://rogercortesi.com/eqn/tempimagedir/eqn3435.png
Answer key at book:
6215/12
Hello,Quote:
Originally Posted by ^_^Engineer_Adam^_^
honestly I don't understand your hint:mad:
∫(√(t) - 1/√(t) + t^(1/3))dt = ∫[from 1 to 64](t^(1/2))dt - ∫(t^(-1/2))dt + ∫(t^(1/3))dt =
[from 1 to 64]((2/3)t^(3/2) - 2*t^(1/2) + (3/4)*t^(4/3))
Now plug in the known values:
[from 1 to 64]((2/3)t^(3/2) - 2*t^(1/2) + (3/4)*t^(4/3)) = (1552/3) - (-7/12) = 6215/12
EB