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Question

Evaluate: 2x(x+5)2dx

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Solution

Let I=2x(x+5)2dx
=2x+1010(x+5)2dx
=2x+5(x+5)2dx101(x+5)2dx
=21(x+5)dx10(x+5)2dx
=2log|x+5|+10(x+5)+c
Where c is a constant of Integration.

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