Find the value of - x 2 1- 1 x 2 dx-

∫ x^2(1 1x^2)dx =∫(x^2 1)dx =x^33 x+C ...

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Integration by Substitution

Find the valu...

Question

Find the value of $\int x^{2} (1 - \frac{1}{x^{2}}) d x$ .

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Solution

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\int x^{2} (1 - \frac{1}{x^{2}}) d x

Find the following integrals.
$\int x^{2} (1 - \frac{1}{x^{2}}) d x .$

\int x^{2} (1 - \frac{1}{x^{2}}) d x

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

f (x) = \int \frac{x^{2} d x}{(1 + x^{2}) (1 + \sqrt{1 + x^{2}})}

f (0) = 0

f (1)

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