Question

solve the problem using the fundamental of calculus:
what is different between this two problems
integral [-pi/2,pi/2] sin(x) dx and [-pi/2,pi/2] |sin(x)| dx

Answer 1

i know that sin (x) is -cos (x) using the anti derivative

Answer 2

but idk how to solve pi/2

Answer 3

one is absolute value. So you have + and minus intergral of sinx