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• 01:24, 27 November 2022 Juanr69976@students.laalliance.org talk contribs created page 7.1 Integration By Parts/32 (Created page with "<math> f'(x)= \int_{0}^{t} e^s sin(t-s) \cdot ds </math> <br><br> <math>\int_{0}^{t} e^s sin(t-s) \cdot ds ~ ~ ~ = ~ ~ ~ e^s \cdot cos(t-s) - \int_{0}^{t} e^s cos(t-s) \cdot ds</math><br> <math> u= e^s ~ ~ ~ ~ ~ dv=sin(t-s)dx ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ u=e^s ~ ~ ~ ~ ~ dv=cos(t-s)</math><br> <math>du= e^s ds~ ~ v=cos(t-s) ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ du=e^s ~ ~ ~ ~ ~ v=-sin(t-s)</math> <br><br> <math>=\frac{32}{5} (\ln(2))^2 -\frac{64}{25} (\ln(2)) + \fr...")