Any hints or written techniques/steps for minimizing an integral? My textbook never mentions anything about it.
For example, find constants a, b,c, and d so that the integral of (ax^3+bx^2+cx+d) from 0 to 2 would be minimized.
Thanks for help!
2026-04-02 11:33:52.1775129632
Vector Calculus - Minimizing integral
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Generally speaking you can try the following
Solve the integral 2. Compute the first derivative or the solution 3. Solve for the zeros of the first derivative of the solution 4. Compute the second derivative at each zero. 5. Any zero for which the second derivative is zero represents a local minimum.
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