DeepIntegrals

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.1 The Idea of the Integral, #25 · Calculus · Integrals

From … to …, the area under … is

From $x$ to $x + Δ x$ , the area under $v = x^{2}$ is $Δ f$ . This is almost a rectangle with base $Δ x$ and height ____. So $Δ f /Δ x$ is close to ____. In the limit we find $df / d x = x^{2}$ and $f (x) =$ ____.

~11 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.1 The Idea of the Integral, #25

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.