Evaluate the integral, x= integration upperlimit pi/omega, lower limit 0 ( 1-sin omega t)dt - Physics - Motion In A Straight Line

Question

Evaluate the integral, x= integration upperlimit pi/omega, lower
limit 0 ( 1-sin omega t)dt

Gurpreet K. · Accepted Answer

x=∫0π/ω1-sinωtdtx=1+cosωtω (t=0 to π/ω)x=1+cosπω-1-cos0ωx=1-1ω-1-1ω⇒x=-2ω