How would you integrate (4x+1)^1/3 ?

Firstly, increase the power outside the brackets by 1 and divide the whole thing by the new power. This gives 3/4(4x+1)^4/3Next, divide the whole thing by the derivative of the bracket. The derivative of (4x+1) is 4. So now we have 3/16(4x+1)^4/3But there is one more thing to remember; as this is integration, we need to put +c on the end.