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Math Help - Fundamental theorem of calc: trig functions

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    Fundamental theorem of calc: trig functions

    anti-derivative((1-sin^2(theta))/(cos^2(theta)))d(theta) on the interval [0,pie/4] ????

    sorry, I don't know the keys to put the symbols on the forum. thanks for any help.
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  2. #2
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    Quote Originally Posted by saiyanmx89 View Post
    anti-derivative((1-sin^2(theta))/(cos^2(theta)))d(theta) on the interval [0,pie/4] ????

    sorry, I don't know the keys to put the symbols on the forum. thanks for any help.
    \int\limits_0^{{\pi  \mathord{\left/{\vphantom {\pi  4}} \right.\kern-\nulldelimiterspace} 4}} {\frac{{1 - {{\sin }^2}\left( \theta  \right)}}<br />
{{{{\cos }^2}\left( \theta  \right)}}} d\theta  = \int\limits_0^{{\pi  \mathord{\left/{\vphantom {\pi  4}} \right.\kern-\nulldelimiterspace} 4}} {\frac{{{{\cos }^2}\left( \theta  \right)}}{{{{\cos }^2}\left( \theta  \right)}}} d\theta = \left. {\int\limits_0^{{\pi  \mathord{\left/<br />
 {\vphantom {\pi  4}} \right.\kern-\nulldelimiterspace} 4}} {d\theta }  = \theta } \right|_0^{{\pi  \mathord{\left/{\vphantom {\pi  4}} \right.<br />
 \kern-\nulldelimiterspace} 4}} = \frac{\pi }{4}.
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