Question

微积分题目

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Answer 1

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Answer 2

(1)
∫ (x^2+1)/√x dx
=∫ [ x^(3/2) + x^(-1/2) ] dx
=(2/5)x^(5/2) +2√x + C
(2)
∫ dx/(x^2-a^2)
=[1/(2a) ] ∫ [1/(x-a) - 1/(x+a) ] dx
=[1/(2a) ] ln|(x-a)/(x+a)| + C