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Integration of (1+x-2x 2 ) 1/2 dx Integration of sininversex/(1-x 2 ) 3/2 Integration of (1+x-2x2)1/2dx Integration of sininversex/(1-x2)3/2
Look at the denominator term within root.Try to write it as two whole square terms.1+x-2x2=1-2(x2-x/2)So the integration becomes
In the 2nd integration putz=sin-1xAlso x=sinzput these values in the integration.It will becomeNow do integration by parts.Take z as 1st function. Please approve the answer if it helps you.
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