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NCERT Class XII Mathematics Chapter - - Solutions

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Find the following integrals in Exercises 6 to 20.
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Question : 7 of 271
Marks: +1, -0
∫x2(1−1x2)dx\int x^{2} \left(1 - \frac{1}{x^{2}}\right) dx
Solution:  
Let I=∫x2(1−1x2)dxI = \int x^{2} \left(1 - \frac{1}{x^{2}}\right) dx
=∫(x2−1)dx= \int \left(x^{2} - 1\right) dx =x33−x+C= \frac{x^{3}}{3} - x + C
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