Calculating Impulse and Speed with a Variable Force

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logan9691
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A net force given by the expression A + Bt^2, where A and B are constants, is applied to a girl on roller skates in the +x direction. The girl has a mass m. The force starts at t1 = 0 s and continues until t = t2.


Force= A + Bt^2
A and B are constants

I'm not sure how to approach this problem, I haven't had that much experience working with integrals.
 
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Oh sorry my bad.

a) what is the expression for the impulse resulting from the applied force?
b) if the girl is initially at rest, what is the expression for her speed at time t2?