Solveeit Logo

Question

Question: \[xa^{x - 1} + c\]...

xax1+cxa^{x - 1} + c

A

cotx6mudx\int_{}^{}{\cot x ⥂ \mspace{6mu} dx}

B

logcosx+c{logcos}x + c

C

logtanx+c{logtan}x + c

D

None of these

Answer

cotx6mudx\int_{}^{}{\cot x ⥂ \mspace{6mu} dx}

Explanation

Solution

1xsinx6mudx=\int_{}^{}\frac{1}{\sqrt{x}}\sin\sqrt{x}\mspace{6mu} dx =

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