Day 79: MHT-CET Maths

1. A.
   $\dfrac{x^2}{2} - 2x - \dfrac{3}{2}\log|x^2 - x + 1| + \dfrac{1}{\sqrt{3}}\tan^{-1}\left(\dfrac{2x - 1}{\sqrt{3}}\right) + c$
2. B.
   $\dfrac{x^2}{2} + 2x + \dfrac{3}{2}\log|x^2 - x + 1| + \dfrac{1}{\sqrt{3}}\tan^{-1}\left(\dfrac{2x - 1}{\sqrt{3}}\right) + c$
3. C.
   $\dfrac{x^2}{2} + 2x - \dfrac{3}{2}\log|x^2 - x + 1| - \dfrac{1}{\sqrt{3}}\tan^{-1}\left(\dfrac{2x - 1}{\sqrt{3}}\right) + c$
4. D.
   $\dfrac{x^2}{2} - 2x - \dfrac{3}{2}\log|x^2 - x + 1| - \dfrac{1}{\sqrt{3}}\tan^{-1}\left(\dfrac{2x - 1}{\sqrt{3}}\right) + c$

Tap an option to check your answer.

1. A.
   $\dfrac{1}{2}\tan x + c$
2. B.
   $\cot 2x + \tan 2x + c$
3. C.
   $\sec 2x + c$
4. D.
   $\dfrac{1}{2}(\tan 2x - \cot 2x) + c$

Tap an option to check your answer.

1. A.
   $x + 2y - 3z + 2 = 0$
2. B.
   $x + 2y - 3z - 2 = 0$
3. C.
   $x - 3z + 2 = 0$
4. D.
   $x + 2y - 3z = 0$

Tap an option to check your answer.

1. A.
   $(-3, 0)$
2. B.
   $[0, 1]$
3. C.
   $[-1, 1]$
4. D.
   $[-3, 0)$

Tap an option to check your answer.

1. A.
   $\dfrac{5}{42}$
2. B.
   $\dfrac{1}{6}$
3. C.
   $\dfrac{5}{14}$
4. D.
   $\dfrac{1}{210}$

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