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Math-8369059.doc

dy
y + 12 y + 37
to convert the deno min ator to a perfect square
I =∫ 2 y 2 + 2 × 6 y + 37
= y 2 + 2 × 6 y + 36 + 1
= y 2 + 2 × 6 y + 62 + 1
= ( y + 6) 2 + 1
dy
dy
I =∫
=∫
2
( y + 6) + 1...

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