x³+5x²-4/x² \, dx - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

Find the following integrals in Exercises 6 to 20.

Question : 11 of 271

Marks: +1, -0

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

Solution:

Let

I=\int \frac{x^3+5x^2-4}{x^2} \, dx

=\int (x+5-4x^{-2})dx

=\frac{x^2}{2}+5x-\frac{4x^{-1}}{-1}+C

=\frac{x^2}{2}+5x+\frac{4}{x}+C

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