Day 528: MHT-CET Maths

1. A.
   $(-1)^k(k-1)\pi$
2. B.
   $(-1)^{k-1}(k-1)\pi$
3. C.
   $(-1)^k k\pi$
4. D.
   $(-1)^{k-1}k\pi$

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1. A.
   $\frac{2}{a^{2}}\left\lbrack \log(a + bcosx) - \frac{a}{a + bcosx} \right\rbrack + c$ where $c$ is the constant of integration.
2. B.
   $\frac{- 1}{a^{2}}\left\lbrack \log(a + bcosx) + \frac{a}{a + bcosx} \right\rbrack + c$, where $c$ is the constant of integration.
3. C.
   $\frac{- 2}{b^{2}}\left\lbrack \log(a + bcosx) + \frac{a}{a + bcosx} \right\rbrack + c$ where c is the constant of integration.
4. D.
   $\frac{- 2}{b^{2}}\left\lbrack \log(a + bcosx) - \frac{a}{a + bcosx} \right\rbrack + c$, where $c$ is the constant of integration.

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1. A.
   $z = 7$
2. B.
   $z = 8$
3. C.
   $z = 6$
4. D.
   $z = 4$

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1. A.
   $\frac{1}{5}$
2. B.
   1
3. C.
   0
4. D.
   $- \frac{1}{5}$

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1. A.
   $13y^{2} + 14y + 5$
2. B.
   $y^{2} + 14y + 5$
3. C.
   $y^{2} - 14y - 5$
4. D.
   $y^{2} - 14y + 5$

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