Solutions Calculus

For each x>0, let G(x)=∫_{0}^{∞ }{{e^{-xt}}dt}. Prove that xG(x)=1, for each x>0.

Question: For each x>0, let \(G\left( x \right)=\int\limits_{0}^{\infty }{{{e}^{-xt}}dt}\). Prove that \(xG\left( x \right)=1\), for each x>0.

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Answer: The solution consists of 1 page
Deliverables: Word Document


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