Ask a New Question

Using the identity:

L{f(t)/t}=integral F(p)dp (s -->infinity),
find the integral of:

sin(t)/t dt (0-->infinity)

1 answer

Since L{sin t} = 1/(s^2+1)

∫[0,∞] sin(t)/t dt = ∫[0,∞] 1/(p^2+1) dp
= arctan(p) [0,∞]
= π/2

Similar Questions

how do you determine the convergence of :definite integral from 1--> infinity of lnx/(x^3)? i set the problem as lim
1. 6 answers
determine whether the improper integral diverges or converges. evaluate if it converges.integral of e^-xcosxdx from 0 to
1. 2 answers
Assuming that:Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(-ax^2) dx over
1. 1 answer
what is the answer for the integral of(1/(xln(x)) from 1 to infinity? I first found the integral using u substitution- so
1. 1 answer

more similar questions