X4-x-1x-2-x2-3x-k-16-x-2-1-x-1- k-

The correct option is D 7 The given equation x^4(x 1)(x 2)=x^2+3x+k+16x 2 1x 1 .......... (1) x^4(x 1)(x 2)=(x^2+3x+k)(x 2)(x 1)+16(x 1) (x ...

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Integration by Partial Fractions

x4/x-1x-2=x2+...

Question

$\frac{x^{4}}{(x - 1) (x - 2)} = x^{2} + 3 x + k + \frac{16}{x - 2} - \frac{1}{x - 1} \Rightarrow k =$

8

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\int \frac{(x + a)^{3}}{x^{3}} + \frac{1 - x^{4}}{1 - x} - \frac{7}{x \sqrt{(x^{2} - 1)}} + \frac{x + 2}{(x^{2} + 1)^{2}} + \frac{(1 + x)^{3}}{\sqrt{(x)}} d x

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