Day 340: MHT-CET Maths

1. A.
   $2y - 1$
2. B.
   $\frac{1}{2y - 1}$
3. C.
   $\frac{y^{2} - x}{2y^{3} - 2xy - 1}$
4. D.
   $\ \ ^{14}C_{6}$

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1. A.
   $-e^{x}\cot\frac{x}{2}+c$
2. B.
   $e^{x}\cot\frac{x}{2}+c$
3. C.
   $e^{x}\csc\frac{x}{2}+c$
4. D.
   $-e^{x}\csc\frac{x}{2}+c$

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1. A.
   $\log\sqrt{x} + c$, where c is the constant of integration.
2. B.
   $\ \log(\sqrt{x} + x) + c$, where c is the constant of integration.
3. C.
   $\log(1 + \sqrt{x}) + c$, where c is the constant of integration.
4. D.
   $2\log(1 + \sqrt{x}) + c$, where c is the constant of integration.

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1. A.
   $\frac{3}{5}$
2. B.
   $\frac{5}{3}$
3. C.
   $\sqrt{\frac{5}{3}}$
4. D.
   $\frac{1}{3}$

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1. A.
   $3\sqrt{10}$
2. B.
   $10\sqrt{3}$
3. C.
   $\frac{10}{\sqrt{3}}$
4. D.
   $\frac{20}{\sqrt{3}}$

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