※ 引述《CKTetris (CKTetris)》之銘言:
: 就算知道有關還是想不出來@@
: http://i.imgur.com/yyHMtzC.jpg
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: Sent from JPTT on my OPPO CPH1701.
J = S [tan(x)]^12 sec(x)dx
= S [tan(x)]^10 * [[sec(x)]^2 - 1]sec(x)dx
= S [tan(x)]^10 sec(x) dtan(x) - I
Pi/6
= (1/11)[tan(x)]^11 sec(x)| - (1/11) S [tan(x)]^12 sec(x) dx - I
0
=> J = (11/12){[(1/11) (1/sqrt(3))^11 (2/sqrt(3))] - I}
= (1/6)(1/3)^6 - 11I/12
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