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Problem with indefinite integral

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PUNIT OJHA
PUNIT OJHA on 23 Aug 2019
Answered: Walter Roberson on 23 Aug 2019
why does the indefinite integral shows incorrect result??
how to get the constant term lost back??

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Answers (1)

Walter Roberson
Walter Roberson on 23 Aug 2019
TIPS
  • Results returned by int do not include integration constants.
If you need a constant of integration, then add one yourself.
"why does the indefinite integral shows incorrect result??"
What leads you to say that the results are wrong?
>> int(2*sin(t)+3*cos(t))
ans =
6*cos(t/2)*sin(t/2) - 4*cos(t/2)^2
>> diff(ans,t)
ans =
3*cos(t/2)^2 - 3*sin(t/2)^2 + 4*cos(t/2)*sin(t/2)
>> simplify(ans)
ans =
3*cos(t) + 2*sin(t)
Looks consistent to me.

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