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

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

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
9 years ago
Sol. The change in a function of y and the independent variable x are related as dy/dx = x2 ⇒ dy = x2 dx ∫▒□(24&dy) = ∫▒x2 dx ⇒ y = x3/ 3 + c ∴ y as a function of x is represented by y = x3/3 + c

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