[tex] \int_{0}^{infty} t e^{-\lambda t} \lambda dt [/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac{1}{\lambda e^{\lambda t}} (1 + t \lambda) \right]_{0}^{\infty} = \frac{1}{\lambda} [/tex]

is this corect??

for hte infinity part we dont have to worry since the 1/exponential term goes to zero as does the t/exponential term. For t = 0 however t/exponentail is zero and what is left is 1/lambda

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# Homework Help: Finding the integral of t e^(-lambda t) from t=0 to t=infinity

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