MediumIntegrals

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.6 Properties of the Integral and Average Value, #32 · Calculus · Integrals

If you choose a random point in the square …, …, what…

32 If you choose a random point in the square $0 ⩽ x ⩽ 1$ , $0 ⩽ y ⩽ 1$ , what is the chance that its coordinates have $y^{2} ⩽ x$ ?

If you choose a random point in the square $0 \leq x \leq 1$ , $0 \leq y \leq 1$ , what is the chance that its coordinates have $y^{2} \leq x$ ?

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.6 Properties of the Integral and Average Value, #32

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.