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Find the antiderivative that satisfies

WebFeb 14, 2024 · 👉 Learn how to find the particular solution to the integral of a function. The integral, also called antiderivative, of a function, is the reverse process o... WebThe antiderivative of sinxis cosx, and lastly the antiderivative of 3 is 3x, so we have: Z 4x5 sinx+ 3dx= 2x6 3 + cosx+ 3x+ C Sometimes, the antiderivative of a function is not immediately obvious. We need to do some algebra to change the expression. E.g. Find the antiderivatives of f(x) = sin2x cosx We do not have formulas that can nd this ...

How is the antiderivative of a constant determined? - Quora

WebQuestion: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x)=5x4−2x5,F(0)=6 F(x)= [0/1 Points] SCALC9 3.9.029. Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f′′(x)=12x3+48x−1x(x)=c Remember to use capital C and D. WebNov 10, 2024 · For each of the following functions, find all antiderivatives. f(x) = 3x2 f(x) = 1 x f(x) = cosx f(x) = ex Solution: a. Because d dx(x3) = 3x2 then F(x) = x3 is an antiderivative of 3x2. Therefore, every … english 2 module https://i-objects.com

4.11E: Antiderivative and Indefinite Integral Exercises

WebFind the antiderivative F of / that satisfies the given condition. Check your answer by comparing the graphs of f and F. ((x) = Ze' - 8x, F(0) = 3 F(X) =... Image transcription text. This question has several parts that must be completed sequentially. If' you skip a part of the question, you will not receive any points for the skipped part, and ... WebJul 30, 2024 · For each of the following functions, find all antiderivatives. f(x) = 3x2 f(x) = 1 x f(x) = cosx f(x) = ex Solution: a. Because d dx(x3) = 3x2 then F(x) = x3 is an antiderivative of 3x2. Therefore, every antiderivative of 3x2 is of the form x3 + C for some constant C, and every function of the form x3 + C is an antiderivative of 3x2. b. WebType the expression for which you want the antiderivative. Then, click the blue arrow and select antiderivative from the menu that appears. This calculator will solve for the … dream wedding images

Finding specific antiderivatives: rational function

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Find the antiderivative that satisfies

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WebTranscribed Image Text: For the following function f, find the antiderivative F that satisfies the given condition. f(x) = 8x3 + 2 sin x, F(0) = 7 The antiderivative that satisfies the given condition is F(x) = Expert Solution. Want to see the full answer? Check out a … WebFeb 7, 2024 · Find the antiderivative F of f (x)=4−3 (1+x^2)^−1 that satisfies F (1)=5. Wyzant Ask An Expert. Calculus Integral Calculus Integral.

Find the antiderivative that satisfies

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WebFind the antiderivative F (x) that satisfies the given condition. F' (x) = 4x + 5e"; F (0) = 2 Answer 10 Points F (x) = This problem has been solved! You'll get a detailed solution … WebMath Calculus Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f (x) = 5x4 − 4x5, F (0) = 2 F (x) = Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f (x) = 5x4 − 4x5, F (0) = 2 F (x) = Question

WebFinding Antiderivatives Using Initial Conditions To find the specific antiderivative, call it f ( x ), of a function F ( x) given the initial condition that f ( a) = b, we use the following... WebJan 31, 2024 · Find the particular antiderivative that satisfies the following conditions: dy/dx=7 (x^−2)+5 (x^−1)−2; y (1)=4. Follow • 1 Add comment Report 1 Expert Answer Best Newest Oldest Patrick B. answered • 01/31/21 Tutor 4.7 (31) Math and computer tutor/teacher See tutors like this y = f (x) = -7 x^-1 -5 ln x - 2x + C

WebFor each of the following functions, find all antiderivatives. f(x) = 3x2 f(x) = 1 x f(x) = cosx f(x) = ex Checkpoint 4.49 Find all antiderivatives of f(x) = sinx. Indefinite Integrals We now look at the formal notation used to represent antiderivatives and … WebEach antiderivative of f f is determined uniquely by its value at a single point. For example, suppose that f f is the function given at left in Figure5.5, and suppose further that F F is an antiderivative of f f that satisfies F (0)= 1. F ( 0) = 1. Figure5.5 At left, the graph of …

WebFind the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f (x) = 5x4 − 4x5, F (0) = 2 F (x) = This problem has … dream wedding hawaiiWebGeneral Form of an Antiderivative. Let F F be an antiderivative of f f over an interval I I. Then, for each constant C C, the function F (x)+C F ( x) + C is also an antiderivative of f … english 2 learners manualWebJul 31, 2024 · The antiderivative of f'' (x) = 24x 3 - 6 will be f' (x) = 24 (x 4 /4) - 6 (x 1 /1) + C Simplifying this, f' (x) = 6x 4 - 6x + C (to check, take the derivative and see that it equals … dream wedding invitation cardsWebfind the antiderivative that satisfies the given condition `dy/dx= (8*x^2*e^ (2x) - 5x)/x^2` and `y (1)=0` - eNotes.com Math Start Free Trial Questions & Answers find the … english 2 module 4 dba flvsWebApr 17, 2024 · Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f (x) = 2ex − 8x, F (0) = 3 Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f and F. f(x) = 2ex − 8x, F(0) = 3 Follow • 1 Comment • 1 Report 1 Expert … english 2 module 4 examWebThe most obvious method is that of working backwards: we know the antiderivative of functions that are derivatives of functions we know.We can therefore construct a list or … english 2nd paper hscWebDec 20, 2024 · 45) A car company wants to ensure its newest model can stop in less than \(450\) ft when traveling at \(60\) mph. If we assume constant deceleration, find the value of deceleration that accomplishes this. In exercises 46 - 51, find the antiderivative of the function, assuming \(F(0)=0.\) 46) [T] \(\quad f(x)=x^2+2\) Answer \(F(x)=\frac{1}{3}x^3 ... dream wedding invitations