7.1 Integration By Parts/31: Revision history

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26 November 2022

  • curprev 23:0023:00, 26 November 2022Juanr69976@students.laalliance.org talk contribs 2,321 bytes +2,321 Created page with "<math> f'(x)= \int_{1}^{2} x^4(\ln(x))^2 \cdot dx </math> <br><br> <math>\int_{1}^{2} x^4(\ln(x))^2 \cdot dx ~ ~ ~ = ~ ~ ~ \frac{x^5(ln(x))^2}{5} - \frac{2}{5}\int_{1}^{2} x^4 \ln(x)\cdot dx ~ ~ ~ = ~ ~ ~ \frac{x^5(ln(x))^2}{5} - \frac{2x^5(\ln(x))^2}{25} + \int_{1}^{2} x^4 \cdot dx ~ ~ ~ = ~ ~ ~ \frac{x^5(ln(x))^2}{5} - \frac{2x^5(ln(x))^2}{25} + \frac{2x^5}{25} </math><br> <math> u= (\ln(x))^2 ~ ~ ~ ~ ~ dv=dx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ u=\ln(x) ~ ~ ~ ~ ~ dv=x^4</m..."