Displaystyle int frac-1-x-4-left - 1-x-4- right -3-2- is equal todisplaystyle dfrac-1-sqrt-dfrac-1-3x-2-x-2-cdisplaystyle dfrac-1-sqrt-dfrac-1-x-3-x-3-cdisplaystyle dfrac-1-sqrt-dfrac-1-2x-2-x-2-cdisplaystyle dfrac-1-sqrt-dfrac-1-x-2-x-2-c

Question

Toppr Admin · Accepted Answer

I-x222B-1-x4-1-x2212-x4-3-2dx

$\int \frac{1 + x^{4}}{{(1 - x^{4})}^{3 / 2}}$ is equal to
$\frac{1}{\sqrt{\frac{1}{3 x^{2}} - x^{2}}} + c$
$\frac{1}{\sqrt{\frac{1}{x^{3}} - x^{3}}} + c$
$\frac{1}{\sqrt{\frac{1}{2 x^{2}} - x^{2}}} + c$
$\frac{1}{\sqrt{\frac{1}{x^{2}} - x^{2}}} + c$

$I = \int \frac{1 + x^{4}}{{(1 - x^{4})}^{3 / 2}} d x$

∫1+x4(1−x4)3/2 is equal to1√13x2−x2+c1√1x3−x3+c1√12x2−x2+c1√1x2−x2+c

I=∫1+x4(1−x4)3/2dx

$\int \frac{1 + x^{4}}{{(1 - x^{4})}^{3 / 2}}$ is equal to
$\frac{1}{\sqrt{\frac{1}{3 x^{2}} - x^{2}}} + c$
$\frac{1}{\sqrt{\frac{1}{x^{3}} - x^{3}}} + c$
$\frac{1}{\sqrt{\frac{1}{2 x^{2}} - x^{2}}} + c$
$\frac{1}{\sqrt{\frac{1}{x^{2}} - x^{2}}} + c$

$I = \int \frac{1 + x^{4}}{{(1 - x^{4})}^{3 / 2}} d x$