Quick Calc 1 problem (Antiderivative)

[btbam91]

Hello, I'm looking for f given f'' and two conditions.

[PLAIN]http://img375.imageshack.us/img375/2572/antider.jpg

Going from f'' to f', I get f'(x) = 5x^4 + 4x^3 + 4x + C

But with the two conditions, I feel that I cannot progress from here. I feel that one of those conditions should be f'.


Any help is appreciated. Thanks.

 

[Mark44]

Hello, I'm looking for f given f'' and two conditions.

[PLAIN]http://img375.imageshack.us/img375/2572/antider.jpg

Going from f'' to f', I get f'(x) = 5x^4 + 4x^3 + 4x + C

But with the two conditions, I feel that I cannot progress from here. I feel that one of those conditions should be f'.


Any help is appreciated. Thanks.

Antidifferentiate one more time to get f(x). You'll get another constant of integration, say D. Using f(0) = 2 and f(1) = 1, you'll have two equations in two unknowns, so you should be able to solve for C and D.