નીચેના સંકલિત શોધો: int frac{x^{3}-1}{x^{2}} | vedclass

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Question

(A) આપણી પાસે છે $\int \frac{x^{3}-1}{x^{2}} dx = \int \left( \frac{x^{3}}{x^{2}} - \frac{1}{x^{2}} \right) dx$ $= \int (x - x^{-2}) dx$ $= \int x dx

Vedclass · Accepted Answer

$\frac{x^{2}}{2} + \frac{1}{x} + C$

Vedclass · Answer

(A) આપણી પાસે છે $\int \frac{x^{3}-1}{x^{2}} dx = \int \left( \frac{x^{3}}{x^{2}} - \frac{1}{x^{2}} \right) dx$ $= \int (x - x^{-2}) dx$ $= \int x dx - \int x^{-2} dx$ $= \frac{x^{1+1}}{1+1} - \frac{x^{-2+1}}{-2+1} + C$ $= \frac{x^{2}}{2} - \frac{x^{-1}}{-1} + C$ $= \frac{x^{2}}{2} + \frac{1}{x} + C$

નીચેના સંકલિત શોધો: $\int \frac{x^{3}-1}{x^{2}} dx$

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