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Question

Question: \[2\sin\sqrt{x} + c\]...

2sinx+c2\sin\sqrt{x} + c

A

sinx+c\sin\sqrt{x} + c

B

12cosx+c\frac{1}{2}\cos\sqrt{x} + c

C

x+11+x2dx=\int_{}^{}{\frac{x + 1}{\sqrt{1 + x^{2}}}dx} =

D

None of these

Answer

sinx+c\sin\sqrt{x} + c

Explanation

Solution

Put cotxtanx+c\cot x - \tan x + c

tanxcotx+c\tan x - \cot x + c therefore

(x+1x)3dx=\int_{}^{}\left( x + \frac{1}{x} \right)^{3}dx =.