Day 64: MHT-CET Maths

1. A.
   $\ \log\left( \cos x + \sqrt{\cos^{2}x + 5} \right) + c$, where c is the constant of integration
2. B.
   $\ \log\left( \sin x + \sqrt{6\cos^{2}x + 5} \right) + c$, where c is the constant of integration
3. C.
   $- \log\left( \cos x + \sqrt{\cos^{2}x + 6} \right) + c$, where c is the constant of integration
4. D.
   $- \log\left( \cos x + \sqrt{\cos^{2}x + 5} \right) + c$, where c is the constant of integration

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1. A.
   9050.88
2. B.
   18101.76
3. C.
   6788.16
4. D.
   12067.84

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1. A.
   $4x^{2} - 7x + 3 = 0$
2. B.
   $\ 4x^{2} + 7x + 3 = 0$
3. C.
   $4x^{2} - 3x - 7 = 0$
4. D.
   $6x^{2} - 5x + 1 = 0$

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1. A.
   0
2. B.
   3
3. C.
   2
4. D.
   4

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1. A.
   $\frac{4n^2+1}{12}$
2. B.
   $\frac{(2n-1)^2}{12}$
3. C.
   $\frac{n^2}{3}-1$
4. D.
   $\frac{4n^2-1}{12}$

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