Integral Multiple Choice Problem

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February 22nd 2010, 02:07 PM
r2d2

Integral Multiple Choice Problem

If the Function $f$ is defined by f(x)= √x³ + 2 and $g$ is an antiderivative of f such that g (3) = 5, THEN g(1)= ??

A. -3.268
B. -1.585
C. 6.585
D. 1.732
E. 11.585

How would you go about solving this problem? thanks!
Oh and the square root sign is for both the x^3 and the 2.
February 22nd 2010, 02:09 PM
Ted

Quote:

Originally Posted by r2d2

If the Function $f$ is defined by f(x)= √x³ + 2 and $g$ is an antiderivative of f such that g (3) = 5, THEN g(1)= ??

A. -3.268
B. -1.585
C. 6.585
D. 1.732
E. 11.585

How would you go about solving this problem? thanks!
Oh and the square root sign is for both the x^3 and the 2.

Well, Lets do it step by step.
You are telling that $g(x)=\int f(x)dx$ .
Start by finding $g(x)$ , i.e. by integrating $f(x)$ .

What will you get?
February 22nd 2010, 02:12 PM
r2d2

the integration of the x^3 +2 is where I get stuck. How would I go about doing this? u substitution?
February 22nd 2010, 02:15 PM
Ted

Quote:

Originally Posted by r2d2

the integration of the x^3 +2 is where I get stuck. How would I go about doing this? u substitution?

Specify your $f(x)$ .
In post #1 you said $f(x)=\sqrt{x^3}+2$ or maybe $f(x)=\sqrt{x^3+2}$ .

And in post #3 you said $f(x)=x^3+2$ .

Which one is your $f$ ?
February 22nd 2010, 02:17 PM
r2d2

the square root of (x^3 + 2).

I don't know how to make a root sign that goes over both of the characters

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