Ap Calc calculus how to apply integration power rule position velocity acceleration speed physics in

Business Contact: [email protected] The following video will go over an example on the application of indefinite integration (power rule). The problems states as follows: If v(t)=(1/t^(1/2))+t^(1/2), find the position function where s(4)=1. The first thing we must do to solve the function is recognize the procedure needed to solve, this can be done with the acronym SVA, which means that you derive the function as it goes down, and integrate as you go up. when we start off with velocity and want to find the position, you must integrate. The formula is given in the video as the integrate of v(t) +c. when you rewrite the function as it is being integrated you can see that the power rule must be used in order to properly integrate the functions. The power rule for integration is crucial in finding the answer and getting closer to finding the answer. It is also important not to fall into a trap and ensure that you know that the integral of 1/x is ln |x|+c. Once the integration rules are properly applied the problem can be simplified into the general solution, however since we want to find the particular solution we must fist find c and by doing that we must substitute the x and y given. When 4 is plugged into the general solution that we found we can see that c is equal to -25/3. now plugging in c to the original/ general form we find our final answer. Thank you for watching!