EasyIntegrals

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.8 Numerical Integration, #10 · Calculus · Integrals

Repeat Problem 9 for the midpoint error

Repeat Problem 9 for the midpoint error $- (Δ x)^{2} (y_{j + 1}^{'} - y_{j}^{'}) /24$ . Draw a figure to show why the rectangle $M$ has the same area as any trapezoid through the midpoint (including the trapezoid tangent to $y (x)$ ).

This exercise builds on another exercise in its source book, which isn't shown here.

~5 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.8 Numerical Integration, #10

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.