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Question

The changes in a function y and the independent variable x are related as dydx=x2. Find y as a function of x.


Solution

Changes in a function of y and the independent variable x are related as follows:
dydx=x2dy=x2 dx
Integrating of both sides, we get:
dy = ∫x2 dx
y=x33+c, where c is a constant
y as a function of x is represented by y=x33+c.

Physics
HC Verma - I
Standard XI

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