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Question Number 94432 by Tony Lin last updated on 18/May/20

$$\int \frac{x^n-x^{n-2}}{\underset{r=0}{\sum ^{2n}}{C}_r^{2n}{x}^r}dx=?$$$$Theresultisalittlepretty$$

Commented by PRITHWISH SEN 2 last updated on 18/May/20

$$\int \frac{{\mathrm{x}}^{\mathrm{n}}-{\mathrm{x}}^{\mathrm{n}-2}}{{(1+\mathrm{x})}^{2\mathrm{n}}}\mathrm{dx}=\int \frac{(1-\frac{1}{{\mathrm{x}}^2})}{{(\frac{1}{\mathrm{x}}+\mathrm{x}+2)}^{\mathrm{n}}}\mathrm{dx}\mathrm{put}\mathrm{x}+\frac{1}{\mathrm{x}}+2=\mathrm{t}$$

Commented by Tony Lin last updated on 19/May/20

$$thankssir$$

Commented by PRITHWISH SEN 2 last updated on 19/May/20

$$\mathrm{welcome}\mathrm{sir}$$

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