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Math Help - more integrals

  1. #1
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    more integrals

    another integral question...

    dy/dx = (sec^2 (x))(tan^.5 (x)) dx

    just to be clear,
    integral of secant squared of x times root tangent of x dx

    we're supposed to use substitution to solve it. I tried u = sec x, but the problem is i've got a root tangent, not just tangent. can someone please walk me through it?


    i've also got a similar issue with dy/dx = 3(sin x)^-2 dx
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  2. #2
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    Quote Originally Posted by jahichuanna View Post
    another integral question...

    dy/dx = (sec^2 (x))(tan^.5 (x)) dx

    just to be clear,
    integral of secant squared of x times root tangent of x dx

    we're supposed to use substitution to solve it. I tried u = sec x, but the problem is i've got a root tangent, not just tangent. can someone please walk me through it?


    i've also got a similar issue with dy/dx = 3(sin x)^-2 dx
    1) Try  u = \tan x
    2) Write as \int dy = 3 \int \csc^2 x dx you should recognize this.
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