t formula (1 Viewer)

NizDiz · Aug 6, 2013

Using t = tan (pi/2), how do u get dx = 2dt / 1 + t^2 ?

iBibah · Aug 6, 2013

NizDiz said:
Using t = tan (pi/2), how do u get dx = 2dt / 1 + t^2 ?

t=tan(x/2) not t=tan(pi/2)

tan(pi/2) is undefined.

Makematics · Aug 6, 2013

asianese · Aug 6, 2013

Alternatively

$t = \tan \frac{x}{2} \\ \frac{dt}{dx} = \sec^2\frac{x}{2} \cdot \frac{1}{2} \Rightarrow 2~dt = \sec^2\frac{x}{2} ~dx \Rightarrow 2~dt = (1+t^2) ~dx \Rightarrow ~dx = \frac{2}{1+t^2}~dt$

NizDiz · Aug 7, 2013

Thanks guys

t formula (1 Viewer)

NizDiz

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iBibah

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Makematics

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asianese

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NizDiz

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