I am having a lot of trouble doing these types of problems. Can someone show me how to do this. Thank you for your time.

Evaluate the definite integral

4
x(x+3)dx
0

1 answer

expand it first to get

⌠ (x^2 + 3x)dx from 0 to 4


= (x^3)/3 + (3/2)x from 0 to 4
= 64/3 + 6 - 0
= 82/3