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  • Find the following integrals integration of x^3 + 5x ^2 - 4

 Q11  Find the following integrals integration of \int \frac{x^3 + 5x^2 - 4}{x^2} dx

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Given intergral \int \frac{x^3 + 5x^2 - 4}{x^2} dx;

or \int \frac{x^3}{x^2}\ dx+\int \frac{5x^2}{x^2}\ dx -4\int \frac{1}{x^2}\ dx

\int x\ dx + 5\int1. dx - 4\int x^{-2}\ dx

= \frac{x^2}{2}+5x-4\left ( \frac{x^{-1}}{-1} \right )+C

Or, \frac{x^2}{2}+5x+\frac{4}{x}+C , where C is any constant value.

Posted by

Divya Prakash Singh

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