Day 23: MHT-CET Maths

1. A.
   $e^x \cot x + C$
2. B.
   $e^x \log\sin x + C$
3. C.
   $e^x \log\sin x + \tan x + C$
4. D.
   $e^x + \sin x + C$

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1. A.
   $3\log|x^{5/2} + 4x^{3/2}| + c$
2. B.
   $\dfrac{1}{2}\log|x + 4| + c$
3. C.
   $4\sec(x^{3/2}) + \log\left(\tan\left(\dfrac{x}{2}\right)\right) + c$
4. D.
   $\tan^{-1}\left(\dfrac{\sqrt{x}}{2}\right) + c$

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1. A.
   $-\dfrac{24}{29}$
2. B.
   $\dfrac{24}{29}$
3. C.
   $-\dfrac{29}{24}$
4. D.
   $\dfrac{29}{24}$

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1. A.
   $\dfrac{-6\hat{i} - 5\hat{j} + 2\hat{k}}{\sqrt{65}}$
2. B.
   $\dfrac{6\hat{i} - 5\hat{j} + 2\hat{k}}{\sqrt{65}}$
3. C.
   $\dfrac{6\hat{i} + 5\hat{j} + 2\hat{k}}{\sqrt{65}}$
4. D.
   $\dfrac{6\hat{i} - 5\hat{j} - 2\hat{k}}{\sqrt{65}}$

Tap an option to check your answer.

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

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