Find the antiderivate

  • Thread starter master1425
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  • #1

Homework Statement


Find the antiderivative F of f that satisifies the given condition. Check by comparing the graphs of f and F.

f(x)=4-3(1+x^2)^-1
F(1)=0


Homework Equations





The Attempt at a Solution


So far what I attempted to do was this:

F(x)=4x -3tan^-1(x) + C
but was unsure from here on.
 

Answers and Replies

  • #2
Defennder
Homework Helper
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Just plug in the given value for F(1) = 0 and solve for C.
 
  • #3
Ok so my F(x) is correct?

That was probably the part I needed the most assurance with.
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
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Homework Statement


Find the antiderivative F of f that satisifies the given condition. Check by comparing the graphs of f and F.

f(x)=4-3(1+x^2)^-1
F(1)=0


Homework Equations





The Attempt at a Solution


So far what I attempted to do was this:

F(x)=4x -3tan^-1(x) + C
but was unsure from here on.
(4x)'= 4 and
(-3 arctan(x))'= -3/(x2+1)
so what is F' ?

F(1)= 4(1)- 3arctan(1)+ C= 0. C= ?
 

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