Day 46: MHT-CET Maths

1. A.
   $2$
2. B.
   $3$
3. C.
   $5$
4. D.
   $\dfrac{15}{2}$

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

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1. A.
   $\frac{\sqrt{34}}{3}$
2. B.
   $\frac{5}{3}$
3. C.
   $\frac{\sqrt{41}}{4}$
4. D.
   $\frac{5}{4}$

Tap an option to check your answer.

1. A.
   8
2. B.
   $\sqrt{2}$
3. C.
   2
4. D.
   5

Tap an option to check your answer.

1. A.
   $\pm \frac{7}{2}$
2. B.
   $\pm \frac{1}{2}$
3. C.
   $\pm \frac{5}{2}$
4. D.
   $\pm \frac{2}{5}$

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