£dx/(1+(2x)^(1/2)) 用第二类换元法怎么求积分?
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£dx/(1+(2x)^(1/2)) 用第二类换元法怎么求积分?
£dx/(1+(2x)^(1/2)) 用第二类换元法怎么求积分?
£dx/(1+(2x)^(1/2)) 用第二类换元法怎么求积分?
∫dx/(1+√(2x))
=∫√(2x)d√(2x)/(1+√(2x))
=∫d√(2x) -∫d√(2x)/(1+√(2x)
t=√(2x)
=t-ln|(t+1)|
=√(2x) - ln|(√(2x)+1)| +C