2{C_0} + frac{{{2^2}}}{2}{C_1} + frac{{{2^3}} | vedclass

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Question

(a) We have ${(1 + x)^{10}} = {C_0} + {C_1}x + {C_2}{x^2} + ... + {C_{10}}{x^{10}}$

Integrating both sides from $0$ to $2$, we get

$\frac{{{3^{1

Vedclass · Accepted Answer

$\frac{{{3^{11}} - 1}}{{11}}$

Vedclass · Answer

(a) We have ${(1 + x)^{10}} = {C_0} + {C_1}x + {C_2}{x^2} + ... + {C_{10}}{x^{10}}$

Integrating both sides from $0$ to $2$, we get

$\frac{{{3^{11}} - 1}}{{11}} = 2{C_0} + \frac{{{2^2}}}{2}{C_1} + \frac{{{2^3}}}{3}{C_2} + .... + \frac{{{2^{11}}}}{{11}}{C_{10}}$.

$2{C_0} + \frac{{{2^2}}}{2}{C_1} + \frac{{{2^3}}}{3}{C_2} + .... + \frac{{{2^{11}}}}{{11}}{C_{10}}$ = . . .

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