Question

To integrate: (pi/6)sin((pi/3)x) dx
1. u = (pi/3)x
2. du = (pi/3) dx
3. Solve for (pi/6)dx = 1/2du
4. = -1/2 cos((pi/3)x)
Is that right??

Answer 1

Yep, you got it! Well, except for the fact that you really should pick up a "+c" on your answer if you are doing a definite integral. Don't forget that if you're doing indefinite integrals they should always pick up the "+c".