9514 1404 393
Answer:
-4arccos(x^(1/4)) +C
Step-by-step explanation:
My machine solver gives an answer that reduces to the expression ...
-4arccos(x^(1/4)) +C
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We know that ...
(d/dx)arccos(x) = -1/√(1-x²)
If you let u = x^(1/4), then you can make the integrand look something like ...
4 du/√(1 -u²)
which is what you need to get to the arccos function.