Posted by sam on Tuesday, June 3, 2008 at 9:53pm.
Consider the function f(t)=2sec^2(t)–6t^2 . Let F(t) be the antiderivative of f(t) with F(0)=0 .
Then F(5)=?
I am confused on how I would find the antiderivative, after I do that do I plug in five?

math  drwls, Tuesday, June 3, 2008 at 10:19pm
You might want to use a table of integrals for the first term. Most people prefer to call the "antiderivative" the (indefinite) integral.
In your case the integral is
F(t) = 2 tan t 2t^3 + C
where C is an arbitary constant.
Since F(0) = 0, C = 0
Now solve for F(5)

math  sam, Tuesday, June 3, 2008 at 10:32pm
when i plug this answer in I get 500 is this correct?

math  drwls, Tuesday, June 3, 2008 at 11:02pm
I get 2 tan 5  2*125 = 249.8
The "5" is understood to be in radians. The 2t^3 term dominates
Answer This Question
Related Questions
 calc  Consider the function f(t)=2sec^2(t)–10t^3. Let F(t) be the ...
 Antiderivative  What is the antiderivative of e^2x? I know the antiderivative ...
 Business Calculus  The indefinite integral, or which call the "antiderivative...
 Math  Find the most general antiderivative of the function. (Check your answer ...
 derivative am i right or wrong  what is the antiderivative of 1/(x^22x+2)? ...
 Calculus (Antiderivatives)  What is the antiderivative of the followring ...
 Calculus (Antiderivatives)  Suppose f(x) is a continuous function. Then a ...
 Calculus I  Consider the function f(x)=((2)/(x^2))((3)/(x^5)). Let F(x) be the...
 calculus  antiderivative  can someone help me find the antiderivative of: f'(x...
 math  what would the antiderivative of e^2x be? and if the antiderivative of ...
More Related Questions