Would you mind confirming if these are correct? If not, please guide me in the right direction. I find that antiderivatives are tricky in the sense that it is difficult to go backwards when we've learned to find derivatives all along! Just learned them yesterday so I'm giving them a go. I apologize, but I still have yet to get the hang of the math tags.
Find the most general antiderivative:
1) f(x)=4sqrtx^3 + 3sqrt x^4
Answer: (4/17)x^(17/4) + (3/16)x^(16/3) + C
2) g(x)= (5-4x^3+2x^6) / (x^6)
Answer: -x^-5 - 2x^-2 + 2x + C
1) f'(x)=2x - [(3) / (x^4)] where x > 0, f(1)=3
Answer: x^2 + x^-3 + 1
If any are incorrect, I'll post up a picture of my work so we can see where I went wrong. Thanks guys.