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Question

Solve:
xx+2dx

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Solution

I=xx+2dx
Let x + 2 = t
dx = dt
I=(t2)tdt
=ttdt2tdt
=t3/2dt2t1/2dt
=t3/2+13/2+12t1/2+11/2+1+c
=t5/25/22.t3/23/2+c
=25t5/243t3/2+c
25(x+2)5/243(x+2)x+2+c
= 25(x+2)2(x+2)43(x+2)x+2+c
=21(x+2)x+2((x+2)523)+c
=2(x+2)x+2(3x+61015)+c
=2(x+2)x+2(3x415)+c
=215(x+2)(3x4)x+2+c

1170892_1296348_ans_1bb7ee012e1341dd939b78bf6da903a0.JPG

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