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(Solved): hi, im stuck on these 2 questions. please help. i dont understand. 2. (a) Prove the formula \[ \int ...
hi, im stuck on these 2 questions. please help. i dont understand.
![2. (a) Prove the formula
\[
\int t^{n} e^{t} \mathrm{~d} t=e-n \int t^{n-1} e^{t} \mathrm{~d} t .
\]
(b) Compute
\[
\int t^{5](https://media.cheggcdn.com/study/e07/e073ae73-a572-4dac-8f7f-635715c4225c/image)
2. (a) Prove the formula \[ \int t^{n} e^{t} \mathrm{~d} t=e-n \int t^{n-1} e^{t} \mathrm{~d} t . \] (b) Compute \[ \int t^{5} e^{t} \mathrm{~d} t \]