C0-1-2 - C1-2-3 - C2-3-4 - - - Cn- n - 1 n - 2 -

∫( 1 + x)^n = ∫^nC_0x^0 + ^nC_1x^1 + ^nC_2x^2 + ........^nC_nx^n ∫( 1 + x)^n/( n + 1) = ∫C_0x/1 + C_1x^2/2 + C_2x^3/3 + ........C_nx^n + 1/n + 1 ...

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Integration Using Substitution

C0/1.2 + C1/2...

Question

$\frac{C_{0}}{1.2} + \frac{C_{1}}{2.3} + \frac{C_{2}}{3.4} + . . . . . . . . . . . + \frac{C_{n}}{(n + 1) (n + 2)} =$

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Similar questions

\frac{C_{0}}{1.3} - \frac{C_{1}}{2.3} + \frac{C_{2}}{3.3} - \frac{C_{3}}{4.3} + . . . + \frac{{(- 1)}^{n} C_{n}}{(n + 1) .3}

\frac{C_{0}}{1.2} - \frac{C_{1}}{2.3} + \frac{C_{2}}{3.4} - \frac{C_{3}}{4.5} + . . .

(n + 1)

\frac{C_{0}}{1.3}

\frac{C_{1}}{2.3}

\frac{C_{2}}{3.3}

\frac{C_{3}}{4.3}

(- 1)^{n}

\frac{C_{n}}{(n + 1)}

\cdot 3

c_{0}, c_{1}, c_{2}, . . . . . . . c_{n}

{(1 + x)}^{n}

(c_{0} + c_{1}) (c_{1} + c_{2}) . . . . . . . (c_{n - 1} + c_{n}) = \frac{c_{1} c_{2} . . . c_{n} {(n + 1)}^{n}}{| n - -}

(C_{0} + C_{1}) (C_{1} + C_{2}) (C_{2} + C_{3}) (C_{3} + C_{4}) . . . . . (C_{n - 1} + C_{n}) = \frac{C_{0} C_{1} C_{2} . . . . C_{n - 1} {(n + 1)}^{n}}{n!}

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