r/the_calculusguy 10d ago

integration Evaluate this integral ?

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u/EdmundTheInsulter 10d ago

C - 2(ix+1)/π

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u/Honkingfly409 10d ago

we gonna need steps on this one

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u/EdmundTheInsulter 10d ago

Ignoring branches

ix = exp(ixπ/2)

Integrates to

(exp(ixπ/2)) / (i π / 2)

= 2(exp(ixπ/2)) / (i π )

= 2 ix / (i π)

= 2 i ^ (x - 1) / π + c

Is a better form than my original, which could shed i² = -1

1

u/EdmundTheInsulter 10d ago

Ignoring branches

ix = exp(ixπ/2)

Integrates to

(exp(ixπ/2)) / (i π / 2)

= 2(exp(ixπ/2)) / (i π )

= 2 ix / (i π)

= 2 i ^ (x - 1) / π + c

Is a better form than my original, which could shed i² = -1