Indefinite integrals | Mathematics | Page 1

celest rose Jul 3, 2023, 7:37 AM

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My answer is not matching, where am I wrong?

signal topaz Jul 3, 2023, 7:43 AM

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Well, the function is just (x + sin(x))cos(x) = x cos(x) + (1/2)sin(2x).
First term by parts, second is elementary.

celest rose Jul 3, 2023, 7:44 AM

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🤔

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But where I was wrong in the process

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This is the answer

signal topaz Jul 3, 2023, 8:44 AM

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You overcomplicated it for some reason.
Why didn't you simplify e^(ln(x)) to x from the start?

celest rose Jul 3, 2023, 8:49 AM

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Bcz I m new to integration and trying to make neat solution, not trying to step jump

signal topaz Jul 3, 2023, 9:45 AM

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But this is the neat way to do it.

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Leaving e^(ln(x)) like that is quite jarring, after all. It begs to be simplified to just x.

celest rose Jul 3, 2023, 9:49 AM

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Ok ic

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But it's still right

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Why answer is wrong

#Indefinite integrals