Question

$\sec(xe^{x})\tan(xe^{x}) + c$

• A. $- \tan(xe^{x}) + c$
• B. $\int_{}^{}\frac{\cos\sqrt{x}}{\sqrt{x}}dx =$
• C. $2\cos\sqrt{x} + c$
• D. None of these

Answer 1

Answer: (B)

$\int_{}^{}\frac{\cos\sqrt{x}}{\sqrt{x}}dx =$

Answer 2

$- \sec x - \tan x + x + c$

Now put $\int_{}^{}{\frac{dx}{\sin^{2}x\cos^{2}x} =}$

then it reduces to

$\tan x + \cot x + c$.