How to Solve an Integral Using Leibniz Rule of Integration?

GhostSpirit
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How can I apply Leibniz rule of integration to solve the integral
\int_0^t{f\left(t\right)\dot{a}^2\left(t\right)dt}
I want to get rid of \dot{a}??
 
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I am sorry, I meant I want to get rid of \dot{a}^2. Is there any answer to solve this integral? I can have \dot{f} in the answer.

Thanks,
 
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