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
Let $ \displaystyle F(x) = \int^x_2 e^{t^2} \, dt $. Find an equation of the tangent line to the curve $ y = F(x) $ at the point with $ x $-coordinate 2.
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
01:15
Frank Lin
Calculus 1 / AB
Chapter 5
Integrals
Section 3
The Fundamental Theorem of Calculus
Integration
Oregon State University
University of Michigan - Ann Arbor
University of Nottingham
Lectures
05:53
In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.
40:35
In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.
0:00
Let $F(x)=\int_{2}^{x} e^{…
01:17
Find an equation of the ta…
00:51
01:03
01:02
03:12
Let F(x)= integral pi to x…
03:11
Find an equation in $x$ an…
03:41
04:10
Find an equation of the t…
03:29
Find an equation of the st…
Okay. The first thing we can do is we can differentiate using the fundamental form of calculus. We get heated, the X squared. Now plug in half. Promise to We have each of the two squared, which is either the fourth. So, you know, the slope of the tangent is each of the fourth. Now, half of two is the integral from 2 to 2. E t. Square, D t. You know, this is your right. The tangent process for two comma zero. Therefore, the equation is going to be Why might a syrup is you? The fourth, The slope Times X minus two. This is the point slope form equation that you probably did years ago in algebra. So this is our final solution.
View More Answers From This Book
Find Another Textbook
05:05
Problem 1. subspace isFind a basis for the indicated subspace. and (b) s…
02:36
10: Let X be the set of the 26 lowercase English letters and 10 decimal How …
02:51
10.3 Significance test for the slope: Test the null hypothesis that the slop…
01:45
Which of the following graphs are bipartite?Which graphs of the form Cn …
01:24
The velocity graph of a braking car Is shown Use to estimate the distance tr…
03:42
3x + 6y = 27 X+2y+z=11QuantityA 2+5(equ c) QuantityB X+ 2y-2
06:19
Exercises 4.1Let I1, 12. T3 , 74 and Ts be the following permutations: T…
01:36
point) Suppose that A is an n of R6 . Find the dimensions of _matrix of …
02:10
Exercise 4.4 Construct an example of a sequence of functions with the strict…
