If 2x-1-x-12x-3-1-5x-1-k-52x-3- then k is equal to

The correct option is D 8 Given, 2x 1/(x 1)(2x+3)=1/5(x 1)+k/5(2x+3) On cross multiplying, we get ⇒2x 1=2x+3/5+k(x 1)/5 Substitute x= 32 ...

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Integration by Partial Fractions

If 2x-1/x-1...

Question

If $\frac{2 x - 1}{(x - 1) (2 x + 3)} = \frac{1}{5 (x - 1)} + \frac{k}{5 (2 x + 3)}$ , then $k$ is equal to

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I = \int \frac{d x}{\sqrt[3]{{(x + 1)}^{2} {(x - 1)}^{4}}}

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{(\frac{3}{5})}^{3} {(\frac{3}{5})}^{- 6} = {(\frac{3}{5})}^{2 x - 1}

(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + \dots + 10 (11)^{9} = k (10)^{9}

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