Question

$\tan x + c$

• A. $\int_{}^{}\frac{\sin^{3}x + \cos^{3}x}{\sin^{2}x\cos^{2}x}\mspace{6mu} dx =$
• B. $\tan x + \cot x + c$
• C. $\tan x - \cot x + c$
• D. $\text{cosec}x - \cot x + c$

Answer 1

Answer: (A)

$\int_{}^{}\frac{\sin^{3}x + \cos^{3}x}{\sin^{2}x\cos^{2}x}\mspace{6mu} dx =$

Answer 2

$\int_{}^{}{\cos x\sqrt{4 - \sin^{2}x}}\mspace{6mu} dx =$

$\frac{1}{2}\sin x\sqrt{4 - \sin^{2}x} - 2\sin^{- 1}\left( \frac{1}{2}\sin x \right) + c$

$\frac{1}{2}\sin x\sqrt{4 - \sin^{2}x} + 2\sin^{- 1}\left( \frac{1}{2}\sin x \right) + c$.