Integration to Solve Modified Sum of Binomial Coefficients

Trending Questions

Q. What will be the integration of the following wrt x?

${\int }_0^{x}x{\left(1+x\right)}^n$

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Q. The sum to (n+1) terms of the following series $\frac{C_0}{2}-\frac{C_1}{3}+\frac{C_2}{4}-\frac{C_3}{5}+\cdots$ is

1. $\frac{1}{n+1}$
2. $\frac{1}{n+2}$
3. $\frac{1}{n(n+1)}$
4. None of these

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Q. $\sum _{r=0}^{r=n}\frac{\left(}{\begin{array}{c}n\\ r\end{array}}$

1. $2^n$
2. $\frac{2^{n+1}-1}{n+1}$
3. $n$
4. $n^n$

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Q. $\frac{a{x}^2+bx+c}{p{x}^2+qx+r}$

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