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Martin Sleziak
5:42 AM
in Mathematics,
Apr 1 at 0:34
, by
Isa
How to integrate \int_0^1 x\sqrt{1-x^2} dx manually? any hint?
I'd say that the substitution $t=1-x^2$ seems like a natural move for $\int_0^1 x\sqrt{1-x^2} dx$.
Searching with Approach0
returns some question on the main site:
determine $\int x\sqrt{1-x^2}\,dx$
or
Use Substitution or partial integration to solve $\int x\sqrt{1-x^2}\,dx$
.
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