Q. 325.0( 1 Vote )

The slope of a curve at each of its points is equal to the square of the abscissa of the point. Find the particular curve through the point ( – 1, 1).

Answer :

Given the slope of the curve = square of the abscissa = x2

Integrating both sides we have,

∫dy = ∫x2dx


The curve passes through point ( – 1,1)

Putting the value of c in equation (1)

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