The antiderivative of the cube of the secant function is the average (arithmetic mean) of the derivative and antiderivatives of the secant function. That is, what are the solutions of \(\int y^3 dx= 1/2 (y' + \int y\) \(dx)\)?
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Single Variable Calculus
Differential Equations (for Calculus)
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3.2 Mainstream Calculus II
3.6 Differential Equations