Griffin Griffiths
07/01/2023 · Primary School
The acceleration of an object moving in a strange way has been modelled as \( \boldsymbol{a}=\boldsymbol{e}^{x} \boldsymbol{x} \). a) Use integration by parts to find an equation to model the velocity \( v \) if \( v=\int e^{x} x d x \). b) Is the problem any different if you find \( v=\int x e^{x} d x \) ?
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For part (a), the velocity \( v \) is modeled as \( v = e^{x} (x - 1) + C \). For part (b), the result is the same as part (a) because the order of multiplication does not affect the outcome.
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