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
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