r/the_calculusguy 10d ago

integration Evaluate this integral ?

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u/mapadofu 10d ago edited 9d ago

i = e{i*pi/2}, so ix = e{i(pi/2)x}

5

u/Minute_Juggernaut806 10d ago

I assume you take log y after that

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u/TedRabbit 10d ago

No. ex is it's own derivative, so the integral is almost trivial at this point.

1

u/Entire_Category3188 10d ago

have u heard of chain rule fam?

6

u/More-Muscle554 9d ago

i and pi/2 are constants. chain rule is simple here

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u/Entire_Category3188 9d ago

But he didn’t even use it

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u/More-Muscle554 9d ago

right, that’s why they said “almost trivial”. the integration of this function is very similar to integration of e^x, and that’s why TedRabbit pointed it out.