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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.8 Numerical Integration, #29 · Calculus · Integrals

Suppose … is concave up

Suppose $y (x)$ is concave up. Show from a picture that the trapezoidal answer is too high and the midpoint answer is too low. How does $y^{''} > 0$ make equation (5) positive and (6) negative?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.8 Numerical Integration, #29

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