See image below
To do this on the TI NSpire:
Sorry, typo: the "3" in step 3 should read "2".
Another mistake, I forgot to switch to radians, correct result for the integral is 2.0428.
Still doesn't work it works on TI N-spire CAS but doesn't work on Ti-Nspire it says" Error the function is not defined.
In case your calculator does not support symbolic algebra, you can still perform a manual integration by parts (this is what I did for the first line in the solution). ?u'·v = u·v - ?u·v', where u' = sin(x) and v = x.
This results in u = -cos(x) and v' = 1. Substitute into the formula to get: ?sin(x)·x = -cos(x)·x - ?-cos(x)·1 = -x·cos(x) - (-sin(x)) = sin(x) - x·cos(x). Integration by parts is among the first things to learn in calculus and a very handy thing to learn by heart.
[Note: I inserted extended character set symbols here: · = multiplication dot, ? = integration sign. I hope they end up properly.]
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