## anonymous 5 years ago Find f(x) if:

1. anonymous

$f \prime (x) = 7/ x^4 and f (1) = 4.$

2. anonymous

f′(x)=7/x4 and f(1)=4 ?

3. anonymous

You just need to integrate f'(x), without forgetting the constant of integration, and then put in the know values to find it, giving you the complete f(x)

4. anonymous

$\int\limits_{}^{}7/x^4dx = 7\int\limits_{}^{}1/x^4dx = 7\int\limits_{}^{}x^-4dx$

5. anonymous

that last one is x to the negative fourth. If you can integrate that, you should be fine