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Question

Solve: 1012x2+x+1dx

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Solution

dx2x2+x+1=12dxx2+x2+12
=12dxx2+x2+116116+112
=12dx(x+14)2+(74)2
dxx2+a2=1atan1(xa)+c
12×1×47[tan1(x+1474)]1
=27[tan1(57)1tan1(17)]
=27tan1(57171+5×17×7)
=27tan1(4712)
=27tan1(73)

1233183_1302342_ans_49894249714148deb3380d3e50fee587.jpg

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