OCR MEI Core 3 7.11 Harder Integration by Substitution Problems

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How would you do a definite integral with limits 1 and 0 for 2x/x+1 when using substitution?

hannahwood
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Does that mean the derivative of arcsin is 1/sqrt(1 - x^2)?

forthrightgambitia
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With example number 3, how would you know to make x=sin u for the substitution?

chessyyyyyy
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For q1 why does limit change from root pi to just pi

oliverchai