integral minf ex2 12 solve for mSolutionintegral minf ex2

integral [m,inf] e^((-x)/2) = 1/2

solve for m

Solution

integral [m,inf] e^((-x)/2) = 1/2

integration gives us e^-x/2 /(-1/2)
putting limits m and infinity we get

2e^-m/2 = 1/2

so -m/2 = -ln4

or m= 2.77

let me know if you have any confusion

integral [m,inf] e^((-x)/2) = 1/2 solve for mSolutionintegral [m,inf] e^((-x)/2) = 1/2 integration gives us e^-x/2 /(-1/2) putting limits m and infinity we get

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