Friday

April 25, 2014

April 25, 2014

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

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 3:25pmI 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 4:10pmyea it is ∫ (t^3 + 2t^2 + 2) dt from 0 to x. thanks for ur help

**Related Questions**

COLLEGE CALCULUS. HELP! - the fundamental theorem of calculus, f(x)=∫(0,x...

calculus - Use the fundamental theorem of calculus to evaluate the following ...

Calculus AP need help! - Use Part 1 of the Fundamental Theorem of Calculus to ...

Calculus I - Section The fundamental Theorem of Calculus: Use Part I of the ...

Calculus I Theorem - I factored and simplified dy/dx of 192x^5 + 96x^3 + 12x all...

Calculus - "Leave the answer as a definite integral, but indicate how it could ...

calculus - Why do we end up with f(x) instead of f(t) on the second fundamental ...

Math:Calculus - Use the Fundamental Theorem of Calculus to find the derivative ...

Calculus - Use fundamental theorem of calculus: Int(pi/2_pi) of e^(sin(q))*cos(q...

Calculus - Use the Fundamental Theorem of Calculus to find the area of the ...