Problem

Sketch the region enclosed by the given curves an…

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Problem 46 Medium Difficulty

Sketch the region enclosed by the given curves and calculate its area.

$ y = x^3 $, $ y = 0 $, $ x = 1 $

Answer

$$
\frac{1}{4}
$$

More Answers

01:10

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

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Video Transcript

okay. We know we're only looking at the positive side because we know in this context, we can only have positive area. Okay, so now we over area is from 01 x cubed Jax. And I remember how we integrate increase The exploited by one's own. Just four instead of three were dividing by the new explain it, which is four now we're plugging in. This is officer just zero, Which means we have 1/4 is our solution.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University