Day 154: MHT-CET Maths

1. A.
   $-1$
2. B.
   $1$
3. C.
   $2$
4. D.
   $3$

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1. A.
   $\dfrac{8\sqrt{2}}{3} + \dfrac{9\pi}{2} - 2\sqrt{2} - 9\sin^{-1}\dfrac{1}{3}$
2. B.
   $\dfrac{8\sqrt{2}}{3} + \dfrac{9\pi}{2} + 2\sqrt{2} + 9\sin^{-1}\dfrac{1}{3}$
3. C.
   $\dfrac{4\sqrt{2}}{3} + \dfrac{9\pi}{4} - \sqrt{2} - \dfrac{9}{2}\sin^{-1}\dfrac{1}{3}$
4. D.
   $\dfrac{4\sqrt{2}}{3} + \dfrac{9\pi}{4} + \sqrt{2} + \dfrac{9}{2}\sin^{-1}\dfrac{1}{3}$

Tap an option to check your answer.

1. A.
   $\dfrac{3}{4}$
2. B.
   $\dfrac{\sqrt{7}}{4}$
3. C.
   $\dfrac{1}{2}$
4. D.
   $\dfrac{3}{8}$

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1. A.
   $x^3\sin x + x^2\cos x - 6x\sin x + 6\cos x + c$
2. B.
   $x^3\sin x + 3x^2\sin x - 6x\sin x - 6\cos x + c$
3. C.
   $x^3\sin x + 3x^2\cos x - 6x\sin x - 6\cos x + c$
4. D.
   $x^3\sin x + 3x^2\cos x - 6x\sin x + 6\cos x + c$

Tap an option to check your answer.

1. A.
   $\dfrac{20}{64}$
2. B.
   $\dfrac{31}{64}$
3. C.
   $\dfrac{35}{64}$
4. D.
   $\dfrac{32}{64}$

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