Someone fix my tex pls....(adsbygoogle = window.adsbygoogle || []).push({});

I'm only 16 so i put this on the K-12 forum but they cant seem to help....

OK. I've had a little break from my studdies and need some help with this...

[tex]I_n(x)=\int\limits_0^x \tan^n{{\theta}}{{d\theta}},n\leq{0},{{x}}<\frac{\pi}{2}[\tex]

By writing [tex]\tan{\theta}[\tex] as [tex]\tan^{n-2}{\theta}\tan^2{\theta}[\tex], or otherwise, show that

[tex]I_n(x)=\frac{1}{n-1}\tan^{n-1}{x}-I_{n-2}(x), n\leq{2},x<\frac{\pi}{2}[\tex]

Hence evaluate [tex]\int\limits_{0}^{\frac{\pi}{3}}\tan^4{\thet

a}d\theta[\tex], leaving your answers in terms of [tex]\pi[\tex]

Thanks (Goddam further maths)

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# Integration Hell

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