Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the area of the region bounded by the given curves.
$ y = \sin^2 x $ , $ y = \sin^3 x $ , $ 0 \le x \le \pi $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Carson Merrill
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
07:43
J Hardin
Calculus 2 / BC
Chapter 7
Techniques of Integration
Section 2
Trigonometric Integrals
Integration Techniques
Hank S.
September 22, 2020
Yes Frank, basically it is defined as the composite of the square function and the sine function. Hope that helps.
Frank V.
Is it standard to use Sine Squared to solve this?
Sam L.
Hey Alexis, I think it is a marking the beginning of an institution, activity, or period of office.
Alexis B.
What is a inaugural ?
Holly S.
Yes Jessica, Basically it is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Jessica G.
Is it standard to use Pythagorean solve this?
Missouri State University
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
01:53
In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.
27:53
In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.
0:00
Find the area of the regio…
07:06
05:12
18:19
02:20
for this given exercise we want to find the area bounded by the curve. So we have sine squared X. Mhm. Okay. Yeah and then we also have cubed And we're focusing on the interval from 0 to Pi. So looking here where X equals pi, this is the area between the curve that we're focused on. So it would be best if we had this value right here, the sign X squared minus the sine cubed dx. So we'll have the integral From 0 to Pi of sin X squared minus Synnex cube Jax. And we'll put parentheses around this whole thing. So once we evaluate this we get about 2.237 which is the same thing as one half pi minus four thirds. So that's our final answer.
View More Answers From This Book
Find Another Textbook
02:35
Find f' (&) given tbat #[(e')] = 2}.Jl 3x1= X Yu )
02:05
Let f be a twice differentiable function, and let f(2) = 3,f'(2) = 0,an…
00:01
Given family with four children, find the probability of the event:The o…
16:09
The random variable interval 0 < X <hasuniform distribution on…
03:21
points) The raccoon population on small island is observed tO be given by th…
06:17
HW8.7. Finding an orthonormal basis of a nullspaceConsider the matrix
03:51
10. [0.86/1 Points]DETAILSPREVIOUS ANSWERSLARCALCT1 3.R.073.
06:59
Let x be an exporential random variable with h = 0.2. Calculate the probabil…
02:21
What is the probability that there will be one girl and one boy in two singl…
