Day 249: MHT-CET Maths

1. A.
   $\frac{\pi}{2} + \frac{2}{3}$
2. B.
   $\frac{\pi}{2} + \frac{4}{3}$
3. C.
   $\frac{\pi}{2} - \frac{4}{3}$
4. D.
   $\frac{\pi}{2} - \frac{2}{3}$

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1. A.
   $\frac{1}{3}$
2. B.
   $\frac{2}{3}$
3. C.
   $\frac{3}{7}$
4. D.
   $\frac{4}{9}$

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1. A.
   $x^{2}\sin x + 2x\cos x - 2\sin x + c$, where c is the constant of integration
2. B.
   $x^{2}\sin x - 2x\cos x - 2\sin x + c$, where $c$ is the constant of integration
3. C.
   $x^{2}\sin x - 2x\cos x + 2\sin x + c$, where c is the constant of integration
4. D.
   $x^{2}\sin x + 2x\cos x + 2\sin x + c$, where c is the constant of integration

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1. A.
   $\dfrac{41}{65}$
2. B.
   $\dfrac{24}{65}$
3. C.
   $\dfrac{26}{65}$
4. D.
   $\dfrac{28}{65}$

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1. A.
   $x^{2}+4x+6$
2. B.
   $x^{4}+x^{2}+6$
3. C.
   $x^{2}+x+6$
4. D.
   $x^{4}+4x^{2}+6$

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