Question

# The changes in a function y and the independent variable x are related as $\frac{dy}{dx}={x}^{2}$. Find y as a function of x.

Solution

## Changes in a function of y and the independent variable x are related as follows: Integrating of both sides, we get: ∫dy = ∫x2 dx $⇒y=\frac{{x}^{3}}{3}+c$, where c is a constant ∴ y as a function of x is represented by $y=\frac{{x}^{3}}{3}+c$.PhysicsHC Verma - IStandard XI

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