第30题,积分换元法,
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第30题,积分换元法,
there're 3 methods you could use.
actually the infininte has many solutions(non-unique),so you don't mind the forms of these solutions.each of them has the same derivative but differs from a constant C.
we could use the relationship arcsinx + arccosx = π/2 for interchange.
but one thing you still need to pay attention,these solutions are valid for the situation x > 1 only,for the situation x < 1,you should do once more substituion due to different domains of the inverse secant function.
再问: thanks :)
actually the infininte has many solutions(non-unique),so you don't mind the forms of these solutions.each of them has the same derivative but differs from a constant C.
we could use the relationship arcsinx + arccosx = π/2 for interchange.
but one thing you still need to pay attention,these solutions are valid for the situation x > 1 only,for the situation x < 1,you should do once more substituion due to different domains of the inverse secant function.
再问: thanks :)