Posted by **MILY** on Tuesday, April 17, 2012 at 2:36pm.

the fundamental theorem of calculus,

f(x)=∫(0,x) t^3+2t^2+ 2 dt,

and find f"(x).

my answer was:

f'(x)=x^3+x^2

f"(x)=3x^2+2x

it said its wrong. i dont know how solve with interval, ∫(0,x)

- COLLEGE CALCULUS. HELP! -
**Reiny**, Tuesday, April 17, 2012 at 3:25pm
I must admit I have never seen that notation before

is this ∫ (t^3 + 2t^2 + 2) dt from 0 to x ??

if so,

= (1/4)t^4 + (2/3)t^3 + 2t | from 0 to x

= (1/4)x^4 + (2/3)x^3 + 2x

so f(x) = (1/4)x^4 + (2/3)x^3 + 2x

f'(x) = x^3 + 2x^2 + 2 ---- as expected, the original

f''(x) = 3x^2 + 4x

- COLLEGE CALCULUS. HELP! -
**MILY**, Tuesday, April 17, 2012 at 4:10pm
yea it is ∫ (t^3 + 2t^2 + 2) dt from 0 to x. thanks for ur help

## Answer this Question

## Related Questions

- COLLEGE CALCULUS. HELP! - the fundamental theorem of calculus, f(x)=∫(0,x...
- Calculus 2 correction - I just wanted to see if my answer if correct the ...
- Calculus AP need help! - Use Part 1 of the Fundamental Theorem of Calculus to ...
- college Calculus Help! - If f(x)= ∫(21,x) t^5 dt then f'(x). my answer was...
- Calculus - Alright, I want to see if I understand the language of these two ...
- Math/Calculus - Solve the differential equation y'=3t^2+4. Solve the initial ...
- calculus - Use the fundamental theorem of calculus to evaluate the following ...
- Calculus - Find the integral by substitution ∫ [(16 x3)/(x4 + 5)] dx &#...
- calculus (check my work please) - Not sure if it is right, I have check with the...
- COLLEGE CALCULUS. HELP! - Evaluate the definite integral ∫(0,2) (x-1)^25 ...

More Related Questions