The value of -1 - x2dx-1 - x2-1 - x2 - x4-is

The correct option is A 1/2√(3)log| √(x^4 + x^2 + 1) √(3x)/√(x^4 + x^2 + 1) + √(3x)| + C ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Binomial Integral

The value of ...

Question

The value of $\int \frac{(1 + x^{2}) d x}{(1 - x^{2}) \sqrt{1 + x^{2} + x^{4}}}$ ,is

- \frac{1}{2 \sqrt{3}} l o g ∣ ∣ ∣ \frac{\sqrt{x^{4} + x^{2} + 1} - \sqrt{3 x}}{\sqrt{x^{4} + x^{2} + 1} + \sqrt{3 x}} ∣ ∣ ∣ + C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1}{2 \sqrt{3}} l o g ∣ ∣ ∣ \frac{\sqrt{x^{4} + x^{2}} + \sqrt{2 x}}{\sqrt{x^{4} + x^{2} + 1} - \sqrt{2 x}} ∣ ∣ ∣ + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{2 \sqrt{3}} l o g ∣ ∣ ∣ \frac{\sqrt{x^{4} - x^{2} + 1} - \sqrt{3 x}}{\sqrt{x^{4} + 1} + \sqrt{3 x}} ∣ ∣ ∣ + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- \frac{1}{2 \sqrt{3}} l o g ∣ ∣ ∣ \frac{\sqrt{x^{4} + x^{2} + 1} - \sqrt{3 x}}{\sqrt{x^{4} + x^{2} + 1}} ∣ ∣ ∣ + C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

\sqrt{2 x} + \sqrt{- x^{4} - 1}

$l i m x \to \infty \frac{\sqrt{x^{2} + 1} - \sqrt[3]{x^{2} + 1}}{\sqrt[4]{x^{4} + 1} - \sqrt[5]{x^{4} - 1}} i s e q u a l t o$

x^{3} + x^{2} + x + 1

x^{4} + x^{3} + x^{2} + x + 1

x^{4} + 3 x^{3} + 3 x^{- 2} + x + 1

x^{3} + x^{2} - (2 + \sqrt{2}) x + \sqrt{2}

(x + \frac{1}{x}) = 3

x - \frac{1}{x}

x^{2} - \frac{1}{x^{2}}

x^{4} - \frac{1}{x^{4}}

\int \frac{x^{4} - 1}{x^{2} \sqrt{x^{4} + x^{2} + 1}}

Join BYJU'S Learning Program