Hint: Divide the numerator by the denominator

http://rogercortesi.com/eqn/tempimagedir/eqn3435.png

Answer key at book:

6215/12

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- Mar 29th 2007, 12:06 AM^_^Engineer_Adam^_^Definite integrals help again
Hint: Divide the numerator by the denominator

http://rogercortesi.com/eqn/tempimagedir/eqn3435.png

Answer key at book:

6215/12 - Mar 29th 2007, 12:44 AMearboth
Hello,

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