7.1 Integration By Parts/14: Difference between revisions
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(Created page with "<math>\int s2^s ds= s*\frac{2^s}{ln(2)}-\int\frac{2^s}{ln(2)}ds= s*\frac{2^s}{ln(2)}-\frac{1}{ln(2)}*\int 2^s ds=s*\frac{2^s}{ln(2)}-\frac{1}{ln(2)}=\frac{s*2^s}{ln(2)}-\frac{2^s}{ln(2)^2}</math>") |
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<math>\int s2^s ds= s*\frac{2^s}{ln(2)}-\int\frac{2^s}{ln(2)}ds= s*\frac{2^s}{ln(2)}-\frac{1}{ln(2)}*\int 2^s ds=s*\frac{2^s}{ln(2)}-\frac{1}{ln(2)}=\frac{s*2^s}{ln(2)}-\frac{2^s}{ln(2)^2}</math> | <math>\int s2^s ds= s*\frac{2^s}{ln(2)}-\int\frac{2^s}{ln(2)}ds= s*\frac{2^s}{ln(2)}-\frac{1}{ln(2)}*\int 2^s ds=s*\frac{2^s}{ln(2)}-\frac{1}{ln(2)}=\frac{s*2^s}{ln(2)}-\frac{2^s}{ln(2)^2}+c </math> | ||
Latest revision as of 00:18, 2 December 2022
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int s2^{s}ds=s*{\frac {2^{s}}{ln(2)}}-\int {\frac {2^{s}}{ln(2)}}ds=s*{\frac {2^{s}}{ln(2)}}-{\frac {1}{ln(2)}}*\int 2^{s}ds=s*{\frac {2^{s}}{ln(2)}}-{\frac {1}{ln(2)}}={\frac {s*2^{s}}{ln(2)}}-{\frac {2^{s}}{ln(2)^{2}}}+c}