Question

More than One Answer Type
एक से अधिक उत्तर प्रकार के प्रश्न

Value of $\int \left(\frac{2x}{x^4+x^2+1}\right)dx$ equals to

$\int \left(\frac{2x}{x^4+x^2+1}\right)dx$ का मान है

• A. $\frac{2}{\sqrt{3}}{\tan }^{-1}\left(\frac{2x^2+1}{\sqrt{3}}\right)+c$
• B. $\frac{1}{\sqrt{3}}{\tan }^{-1}\left(\frac{2x^2+1}{\sqrt{3}}\right)+c$
• C. $-\frac{1}{\sqrt{3}}{\cot }^{-1}\left(\frac{2x^2+1}{\sqrt{3}}\right)+c$
• D. $-\frac{2}{\sqrt{3}}{\cot }^{-1}\left(\frac{2x^2+1}{\sqrt{3}}\right)+c$

Answer 1

Answer: (A), (D)

$-\frac{2}{\sqrt{3}}{\cot }^{-1}\left(\frac{2x^2+1}{\sqrt{3}}\right)+c$

Solution