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^2-2x+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