Please help!!! Undetermined coefficients

Please help!!! Undetermined coefficients

Postby Guest » Sun Feb 03, 2019 7:27 pm

I have been going at this problem for a week and I cannot figure this out. Please help!!!
Use method of Undetermined coefficients to integrate
[tex]\int(4x^6-2x^5+2x^3-10x+5)e^{4x}dx[/tex]
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Re: Please help!!! Undetermined coefficients

Postby Math Tutor » Mon Feb 04, 2019 3:08 am


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Re: Please help!!! Undetermined coefficients

Postby Math Tutor » Mon Feb 04, 2019 3:09 am

The result is:
[tex]\int \left(4 x^{6} - 2 x^{5} + 2 x^{3} - 10 x + 5\right) e^{4 x}\, dx = - \frac{3 x^{5}}{2} e^{4 x} + \frac{5 x^{4}}{2} e^{4 x} - \frac{5 x^{3}}{2} e^{4 x} + \frac{3 x^{2}}{2} e^{4 x} - \frac{3 x}{4} e^{4 x} + \frac{e^{4 x}}{4} \left(4 x^{6} - 2 x^{5} + 2 x^{3} - 10 x + 5\right) + \frac{13}{16} e^{4 x} + \mathrm{const}[/tex]

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