Trig functions and the special integral

Question 1

What do you get if you integrate sin x?

Answer 1

-cos x + c

Question 2

What do you get if you integrate cos x?

Answer 2

sin x +c c

Question 3

What do you get if you integrate sin(ax+b)?

Answer 3

-1/a*cos(ax+b) + c

Question 4

What do you get if you integrate cos(ax+b)?

Answer 4

1/a*sin(ax+b) + c

Question 5

What do you get if you integrate (ax +b)^n

Answer 5

(ax+b)^n+1/a(n+1) + c