DeepIntegrals

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.2 Antiderivatives, #33 · Calculus · Integrals

(e) … is an antiderivative of

True or false, when $f (x)$ is an antiderivative of $v (x)$ .

(a) $2 f (x)$ is an antiderivative of $2 v (x)$ (try examples)

(b) $f (2 x)$ is an antiderivative of $v (2 x)$

(c) $f (x) + 1$ is an antiderivative of $v (x) + 1$

(d) $f (x + 1)$ is an antiderivative of $v (x + 1)$ .

(e) $(f (x))^{2}$ is an antiderivative of $(v (x))^{2}$ .

~11 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.2 Antiderivatives, #33

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.