[數撚圍爐區] You need that lemma. (13)

Sorry各位巴打冇爬文唔知係度問得唔得
本身諗住出面開Post急問但見到有數學Post就諗住試下喺度問咗先 係BB班Integration 問題嚟

想問下點解會變咗做4e嘅？
第一步將Constant 2抽出嚟
之後單獨Integrate e0.5q
Standard integral唔係話e嘅x次方都係出番e嘅x次方咩？
唔明點解答案會變咗4e0.5q而唔係2e0.5q
有冇巴打可以教下我個0.5次方應該點處理先會計得啱呀
萬分感謝

sub u = 0.5q

Let u = 0.5q
Then du/dq = 0.5, so 2 du = dq
The integral becomes int 2 * 2 e^u du = int 4 e^u du = 4 e^u = 4 e^(0.5q)