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## Main Question or Discussion Point

We have implicit differentiation:

i.e. x^2 + y^2 = 7

-> 2x +2y(dy/dx) = 0.

and solve for dy/dx gives you the derivative of y with respect to x

However, is there not implicit integration?

for terms linear in y,

i.e. x^2 + y = 7

-> X^3/3 +int(y) = 7x + K,

and solve for int(y) to get the intergral of y with respect to x

But what about terms non-linear in y?

i.e. x^2 + y^2 = 7

-> 2x +2y(dy/dx) = 0.

and solve for dy/dx gives you the derivative of y with respect to x

However, is there not implicit integration?

for terms linear in y,

i.e. x^2 + y = 7

-> X^3/3 +int(y) = 7x + K,

and solve for int(y) to get the intergral of y with respect to x

But what about terms non-linear in y?