**One another way that can evaluate **** by double integral is to write **** as follows**

**This is true, since we have
**

**Now integrating by parts yields**

**and by using the monotone convergence theorem, I can write
**

**Hence,**

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# The Basel Problem, Double Integral Method II

**One another way that can evaluate **** by double integral is to write **** as follows**

**This is true, since we have
**

**Now integrating by parts yields**

**and by using the monotone convergence theorem, I can write
**

**Hence,**

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