Day 61: MHT-CET Maths

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

Tap an option to check your answer.

1. A.
   $-\dfrac{1}{8}$
2. B.
   $\dfrac{1}{8}$
3. C.
   $\dfrac{1}{64}$
4. D.
   $8$

Tap an option to check your answer.

1. A.
   $(0, 0)$
2. B.
   $(e, e)$
3. C.
   $(e^2, 2e^2)$
4. D.
   $(e^{-2}, -2e^{-2})$

Tap an option to check your answer.

1. A.
   $4$
2. B.
   $6$
3. C.
   $3$
4. D.
   $-3$

Tap an option to check your answer.

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

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