What is the integration of (x+1/sqrt(x) ) ^2
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What is the integration of (x+1/sqrt(x) ) ^2

[From: ] [author: ] [Date: 11-06-19] [Hit: ]
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What is the integration of (x+(1/sqrt(x)) ) ^2?

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Ans: (x+1/sqrt(x) ) ^2 = x^2 + 2sqrt(x) + 1/x
hence the integral is = (x^3)/3 + 4/3(x^(3/2)) + ln(x) + c

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It's easiest to just expand:

= x^2 + 2sqrtx + 1/x

Integrate that gives

= x^3/3 +4x^(3/2)/3 + ln|x| + C
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