My Ti89 calculater can't differntiate anything? Please help

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christian0710
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Hello,

If i try to differentiate any function even simple function on the ti89 such as d(x^2,x) it spits out a list [6 8 10]
Can someone please help me with the calculator?
 
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It could be that your calculator is not set up to produce function like derivatives such as 2x, and will only produce a list of values on the curve of the derivative. Or it could be that there is a mode in which to do what you want, and you have to switch to it.

Might I suggest you use Wolfram-Alpha on the internet for these and other computations. It is very comprehensive and always in the right mode.
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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