Let I = [ ii dx (x +1) dx i Show that +1 (+1)-(24) -S -=S...

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Let I₁ = [ ii dx (x² +1)" dx i Show that +1 (²+1)-(2²4) -S -=S (x² +1)" dx Hence, or otherwise find lim 1 lim x² dx Use the identity above to find constants A and B such that I, = dx ° (x² + 1)² Ax (x²+1)^-1 +BI 1 2 Let I₁ = [ ii dx (x² +1)" dx i Show that +1 (²+1)-(2²4) -S -=S (x² +1)" dx Hence, or otherwise find lim 1 lim x² dx Use the identity above to find constants A and B such that I, = dx ° (x² + 1)² Ax (x²+1)^-1 +BI 1 2