The integral of the function f(x) = sin(x)cos(x) can be expressed as either -(cos(x))^2/2 or (sin(x))^2/2, both of which are valid representations. It is essential to include the constant of integration '+C' in the final answer. For first-year physics students, knowledge of integration techniques such as integration by parts, integration by substitution, and trigonometric substitutions is crucial for solving various problems effectively.
PREREQUISITESThis discussion is beneficial for first-year physics students, calculus learners, and anyone looking to enhance their integration skills, particularly in the context of trigonometric functions.
Panphobia said:For the function f(x) = sinx*cosx the integral of it by u-substitution could be -(cosx)^2/2 or (sinx)^2/2, which one is right for an assignment or would I need to state both? Also for a person taking first year physics, what kinds of integration will I need to know past, integration by parts, and integration by substitution?