maths
posted by Tom .
If (e^x)(sin3x)=Im ((e^x)(e^i3x))
integrate (e^x)(sin3x)
I get the answer(e^x)(cos3x3sin3x) +C
My book gets the answer
(1/10)(e^x)(sin3x3cos3x)+C
Can any explain which answer is right and why
Integral of e^(1+3i)x =
e^(1+3i)x /(1+3i) + c
Multiplying numerator and denominator by (13i) gives:
(13i)e^(1+3i)x/10
If you take the imaginary part you get the answer given in your book.
I am such an idiot for some reason I differentiated not integrated. Thanks so much
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