Differentiation 02

2011-11-27 6:42 am
Find the indicated integral. Check your answers by differentiation.


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回答 (1)

2011-11-27 6:23 pm
✔ 最佳答案
15 d[ln(x^2 + 1)] = 2x/(x^2 + 1)

So, ∫ 2xln(x^2 + 1)/(x^2 + 1) dx

= ∫ ln(x^2 + 1) d[ln(x^2 + 1)]

= (1/2)[ln(x^2 + 1)]^2 + C (where C is a constant)


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