- #1
Saladsamurai
- 3,020
- 7
Is this the correct way to use the Tabular Method for
[tex]\int x^2e^{-5x}dx[/tex]
repeated diff:
[tex]x^2[/tex]
[tex]2x[/tex]
[tex]2[/tex]
repeated Integration:
[tex]e^{-5x}[/tex]
[tex]-\frac{1}{5}e^{-5x}[/tex]
[tex]\frac{1}{25}e^{-5x}[/tex]
[tex]-\frac{1}{125}e^{-5x}[/tex]
=[tex]-\frac{x^2}{5}e^{-5x}+\frac{2x}{25}e^{-5x}+\frac{2}{125}e^{-5x}+C[/tex]
I hate this.
Casey
[tex]\int x^2e^{-5x}dx[/tex]
repeated diff:
[tex]x^2[/tex]
[tex]2x[/tex]
[tex]2[/tex]
repeated Integration:
[tex]e^{-5x}[/tex]
[tex]-\frac{1}{5}e^{-5x}[/tex]
[tex]\frac{1}{25}e^{-5x}[/tex]
[tex]-\frac{1}{125}e^{-5x}[/tex]
=[tex]-\frac{x^2}{5}e^{-5x}+\frac{2x}{25}e^{-5x}+\frac{2}{125}e^{-5x}+C[/tex]
I hate this.
Casey