Laplace Transform: Integral of x from 0 to ∞

[catcherintherye]

\int_{0}^{\infty} x dx = \left[ \frac{1}{2}x^2 \right]_{0}^{1} = \frac{1}{2}

 

[symplectic_manifold]

always check your post AFTER you send it with latex code!

 

[HallsofIvy]

\int_{0}^{\infty} x dx = \left[ \frac{1}{2}x^2 \right]_{0}^{1} = \frac{1}{2}

Is there a question here? My question is 'how did the \infty in the integral become 1 in the evaluation?

Also, in what sense does this have anything to do with a "Laplace transform"? could you have forgotten an e^{-xt}?