IF YOU ARE

IF YOU ARE TAKING THE AP CALC EXAM THIS YEAR YOU SHOULD REALLY LEARN THE BASICS OF DESMOS BECAUSE IT CAN ACTUALLY SAVE YOU AND HELP YOU ON THE TEST. LET'S SHOW YOU SOME OF THE BASICS. STARTING WITH GRAPHING. IF YOU EVER NEED TO HAVE SPECIFIC BOUNDS. THIS HAPPENS A LOT WHEN YOU HAVE QUESTIONS THAT ASKS THE INTEGRAL OF F(X)-G(X) OR THAT ASK YOU THE AREA BETWEEN F(X) AND G(X). ALL YOU HAVE TO DO IS GOING TO CURLY BRACKETS AND THEN JUST DEFINE WHATEVER YOUR BOUNDS ARE. TO DEFINE MORE THAN ONE BOUND, LIKE FOR EXAMPLE, AND Y BOTH HAVE BOUNDS, MAKE A SECOND AREA FOR THE IT. NOW ANOTHER THING DO IS ANY REGULAR INTEGRAL, SO YOU JUST TYPE IN INT AND IT COMES YOUR BOUNDS IN. MAKE SURE YOU HAVE YOUR D AND THEN WHATEVER YOUR VARIABLE IS. ANOTHER BIG THING IS IF YOU WANT, OUT THE INTEGRAL SOMETIMES YOU HAVE THAN ONE THING WITH THIS EQUATION. YOU CAN ACTUALLY EQUATION OUT REGULARLY F(X). AND THEN YOU CAN UTILIZE IT ON SEPARATE LINES FIND DERIVATIVES, DOUBLE DERIVATIVES, INTEGRALS, AND IT'LL ALL REFER BACK TO THIS ORIGINAL LINE. NOW ANOTHER THING IS ON A LOT OF DIFFERENTIAL EQUATION QUESTIONS. YOU'RE GONNA END EQUATION THAT LOOKS SOMETHING LIKE THIS, AND YOU'LL KNOW WHAT X AND Y ARE, TO FIND THE A LOT OF, TO GO AND SOLVE THE WHOLE THING OUT IN C. YOU COULD ALSO INSTEAD JUST PLUG IN THE ACTUAL VALUES FOR X AND Y. COULD PLUG IN 1.5 HERE, PLUG IN 3.4 HERE. BUT ANOTHER WAY IT IS PLUGGING THIS IN. ANOTHER BIG THING IS IN THE GONNA HAPPEN A LOT WITH HAVE THESE CONSTANTS, TO FIND A LIKE IT SAYS THE INTERVAL OF 4X^2 DX, FIND A. INSTEAD OF ANSWERING YOU CAN LITERALLY STRAIGHT INTO A REGRESSION AND IT'LL TELL THESE CONSTANTS ARE. THE LAST THING IS THIS IS THE FUNDAMENTAL THEOREM OF WHICH YOU ARE GUARANTEED TO SEE ON THE EXAM. IF YOU'RE TOLD THIS, YOU'RE TOLD THAT INTEGRAL FROM A TO X OF F'(T)DT IS AN EQUATION YOU SHOULD REALLY KNOW. IN F(T) AND THEN YOU WRITE G'(3). IT MIGHT ASK YOU WHAT'S G'(OF THREE? WRITE IT OUT, AND THEN YOU'LL NOTICE THAT WHATEVER YOU MAKE A, LIKE, LINE WITH A BEING A SLIDER. WHATEVER YOU MAKE A, IS GOING TO BE SAME. THE DEFINITION OF THE FUNDAMENTAL THEOREM OF CALCULUS.