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Calculus

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I'm a bit confused about the average equations with integration. I need to solve this problem, and I think I'm supposed to use substitution, but I can't get it to work. The problem looks like this:

z(t)=4tsin(t^2), [0,π^1/2]

Any input?

  • Calculus -

    Let
    u=t^2
    du = 2tdt
    ∫z(t)dt
    =∫4tsin(t^2)dt from 0 to sqrt(π)
    =∫2sin(u)du from 0 to π
    =-2cos(u) from 0 to π
    =-2[-1 - (1)]
    =4

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