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).
Given the slope of the curve = square of the abscissa = x2
⇒ 
⇒ 
Integrating both sides we have,
⇒ ∫dy = ∫x2dx
⇒ 
……(1)
The curve passes through point ( – 1,1)
⇒ 
⇒ 
Putting the value of c in equation (1)
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