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Integration (Integrate ) by Parts and Substitution : ∫2xsin‾¹(x²)dx

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Please evaluate the following integral using the integration by parts formula:
∫udv = uv - ∫vdu

for the integral
∫2xsin‾¹(x²)dx
and then evaluate for the limits 0≤x≤1/√2

Please show all the steps for the integration and substitution.

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Solution Summary

An integral is found by substitution and parts. The solution is detailed and well presented.

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