Integral of e^(sqrt(x))*cos(e^sqrt(x))/sqrt(x) (substitution)
✍🏼 https://integralsforyou.com - Integral of e^(sqrt(x))*cos(e^sqrt(x))/sqrt(x) - How to integrate it step by step using the substitution method!
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00:00 Rewrite expression
00:18 Substitution: u=sqrt(x)
00:23 Differentiate in both sides
00:30 Substitute sqrt(x) and dx
00:53 Substitution: t=e^u
00:59 Differentiate in both sides
1:04 Substitute e^u and du
1:25 Integrate cos(t)
1:31 Undo substitution: t in terms of u
1:39 Undo substitution: u in terms of x
1:44 Add integration constant +C
1:52 Final answer!
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