Int gives wrong answer
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syms x
f(x) = cos(x)*sin(x);
Fx = int(f,x)
Fx(x) =
sin(x)^2/2
while the correct answer is -cos(x)^2/2
3 Comments
Torsten
on 2 Mar 2022
Since sin(x)^2/2 = -cos(x)^2/2 + 1/2, both answers are correct.
Note that both answers only differ by a constant, namely 1/2.
Answers (1)
Walter Roberson
on 2 Mar 2022
Remember that indefinite integration always has an implied "plus a constant". So any two results of int() that differ by a constant are the same integral result. And sin squared plus cos squared equals 1 so the two possibilities are the same up to the constant.
You can ask to rewrite() to 'cos'
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