\(\displaystyle (4x+5)^7\)

The book tells me it is \(\displaystyle \frac{1}{32}(4x+5)^8+C.\)

I don't understand how they arrive at this answer. I took a rather lengthy way, expanding the entire polynomial using Pascal's triangle, and then taking the antiderivative of each individual term. They seem to do it a much quicker way. How?