F.5 DEFINITE INTEGRATION 1條

圖中的33題 請各師兄教一下小弟~謝謝!

http://imageshack.us/photo/my-images/718/img1692ky...

1 個解答

評分
  • wy
    Lv 7
    9 年前
    最愛解答

    Using change of variable, d ( sec x) = tan x sec x dx.

    The integral becomes (tan^3 x/sec x)(d(sec x)/sec x tan x) = tan^2 x d(sec x)/sec^2 x

    = (sec^2 x - 1)d(sec x)/sec^2 x

    = (1 - 1/sec^2 x) d(sec x)

    = sec x + 1/sec x + C

    Substitute in the limit will be the answer of the definite integral.

還有問題嗎?立即提問即可得到解答。