Was submitted previously, but the answer was incorrect. Thank you. Match the following functions f(x) to their corresponding integrals F(x)v f(x) = cos(r)(1+ cos(x)) – sin(x)(1+ sin(x))v f(x) = sin(r)+ (1+x) cos(x)v f(x) = (1+sin(x)) + (1+x) cos(x)v f(x) = cos(x) - (1+ x) sin(2)A. F(x) = (1+x) sin(x) + cB. F(x) = (1+ sin(x))(1+ cos(x))+cc. F(x) = (1+)(1+ sin(x)) + cD. F(x) = (1+ x) cos(x) + c

We can find the derivative of the fucntion F(x) which will give f(x) and then match the columns.

Answered: answer | bartleby

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Was submitted previously, but the answer was incorrect. Thank you.

Match the following functions f(x) to their corresponding integrals F(x)
v f(x) = cos(r)(1+ cos(x)) – sin(x)(1+ sin(x))
v f(x) = sin(r)+ (1+x) cos(x)
v f(x) = (1+sin(x)) + (1+x) cos(x)
v f(x) = cos(x) - (1+ x) sin(2)
A. F(x) = (1+x) sin(x) + c
B. F(x) = (1+ sin(x))(1+ cos(x))+c
c. F(x) = (1+)(1+ sin(x)) + c
D. F(x) = (1+ x) cos(x) + c

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Hey, I am trying to understand on the fundamentals of calculus, for the integrals of "a" to "b". I manage to under the relationship of how to find the antiderivative for => f(x)dx = F(b) - F(a). Please show show how to find the step for pluging in the values of F(8) - F(4). Ty