Skip to main content

Train Courses Problems Proof Blocks Progress Account

⌄

AccountSign-in, membership, and settingsCalculus IThemeAbout ProofAnvilLoading account…

Problem library

Find a problem

Search by course or topic.

Loading the problem library…

TrainCoursesProblemsProgressMoreTrain Courses Problems Progress

More

Proof Blocks Account

ProofAnvil Practice$19 USD monthly · no trial

Features Roadmap Use with your AI Pricing Terms Privacy Refunds Support

Problems · ProofAnvil

Problem library

Find a problem

Search by course or topic.

Search problems

Area

AllMathPhysics

SubjectCourseTopic

Topic choices for Calculus I are shortened. Search still covers every problem.

More filters · Active

StatusSkill

Skills match the applied subject and course.

Problem styleFind a private labelPrivate labelPrivate labels are visible only to you.Private labels ready.Favorites

Some filter menus are shortened. Search still checks every problem.

Browsing still works.Sign in to use progress, saved problems and private labels. Problem search and previews remain available.

Progress labels

IndependentSolved with helpIncorrect / unresolvedDraft in progressNot attemptedReview due

Problem results

Sort

ProblemsClear skill: Integration Ftc Build a practice set

ProblemCourse & topicStatus

CALC1:9915151Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915152An open-top rectangular storage tank with a square base of side length x meters and height h meters must hold a vol…

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915153A Norman window consists of a rectangle surmounted by a semicircle whose diameter coincides with the top of the rec…

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915154A right circular cone has height 9 meters and base radius 6 meters.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915155Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915156The strength of a rectangular wooden beam with rectangular cross-section of width w centimeters and depth h centime…

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915157A shipping carton has a square cross-section of side x centimeters and length y centimeters.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915158Find the point or points on the rectangular hyperbola xy=8 in the first quadrant that are closest to the origin.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915159Sand falls onto a conical pile at the constant rate of 6 cubic feet per minute.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915160A 25-foot ladder leans against a vertical wall, with its foot on horizontal ground.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915161Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915162A watering trough is 10 feet long and has a vertical cross-section in the shape of an isosceles triangle that is 4…

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915163A spherical storage tank has inner radius 5 meters.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915164A camera on the ground is 60 meters from a vertical launch pad and tracks a rocket that rises vertically from the pad.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915165A spherical block of ice remains spherical as it melts.

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915166Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915167Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915168Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915169Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915170Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915171Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915172Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915173Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

CALC1:9915174Mathematical problem title

Integration FtcCalculus 1 Problem Solving

Antiderivatives, definite integrals, and the Fundamental Theorem of CalculusCalculus I · Calculation

—

Showing 24 of 50 matching problems.

Private labels

Edit private labels

Add labels that only you can see.

Problem

Current labels

Private labels are unavailable. Close this editor and try again.

New label

Use a short label.

A farmer has

240\,\mathrm{m}

of fencing and will enclose a rectangular pasture along a straight river that needs no…

An offshore well lies

3\,\mathrm{km}

from the nearest point A on a straight shoreline.

At a given instant, ship A is

9\,\mathrm{km}

due north of a lighthouse and is sailing due north at

6\,\mathrm{km/h}

…

Let

f(x)=x^{1/3}

.

A machined cube is measured to have side length

x=12.00\,\mathrm{cm}

, with a maximum measurement error of

|\Delta

x…

The period of a simple pendulum of length

L

meters, for small oscillations, is modeled by…

A copper wire has resistivity

\rho=1.70\times

10^{-8}\,\Omega\cdot\mathrm{m}

, which you may treat as exact.

A right circular cylinder is measured to have radius

r=4.00\,\mathrm{cm}

and height

h=10.00\,\mathrm{cm}

, with maxi…

Let

f(x)=(1+x)^{-1/2}

for x>-1.

Let

f(x)=x^{3}+x-1

.

Newton's method applied to

f(x)=x^{2}-10

produces the Babylonian (Heron) recurrence for

\sqrt{10}

.

In orbital mechanics, Kepler's equation for the eccentric anomaly

E

(in radians) of a body on an ellipse of…