(b) Evaluate ∫0^∞(sin t)/(t) dt
(c) Show that ∫0^∞(cos at - sin at)/(t) dt = log(1/5)
(a) Explai

Name: (b) Evaluate ∫0^∞(sin t)/(t) dt (c) Show that ∫0^∞(cos at - sin at)/(t) dt = log(1/5) (a) Explain periodic function with an example
Uploaded: 2023-10-01T16:28:03-08:00
Duration: 57 s
Channel: Sam Stansfield
Description: (b) Evaluate ∫0^∞(sin t)/(t) dt (c) Show that ∫0^∞(cos at - sin at)/(t) dt = log(1/5) (a) Explain periodic function with an example

Question

Sam Stansfield · Accepted Answer

Step 1: 
First, let's rewrite the integral in terms of a new variable u = at. This will allow us

Question

(b) Evaluate $\int_0^\infty \frac{\sin t}{t} dt$ (c) Show that $\int_0^\infty \frac{\cos at - \sin at}{t} dt = \log(1/5)$ (a) Explain periodic function with an example

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