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Question

ex(2x2)(1x)1x2dx.

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Solution

I=ex2x2(1x)1x2dx
=ex(1+(1x2)(1x)1x2)dx
=ex[1x2(1x)1x2+1(1x)1x2]dx
=ex[((1+x)(1x)(1x)1+x1x)+(1(1x)1x2)]dx
=ex(1+x1x+1(1x)1x2)dx
I=ex1+x1x+c (ex(f(x)+f(x))=e2f(x)+c)

1187978_1293893_ans_c18e4f73e2b445508f3114595d96b76d.jpg

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