Slide 1ObjectivesSlide 3 Indefinite IntegralsSlide 6The sum and constant multiplier rules still work:The Rules (print a formula page):Find the indefinite integrals:Find the indefinite integral for each:Mike the bowling ballSlide 12Math 128Calculus for Social and Applied SciencesSection 6.2Antiderivatives and the Indefinite IntegralObjectives•Students will understand what the indefinite integral is.•Students will be able to find the indefinite integral for:Constant FunctionsPower FunctionsInverse Function Exponential FunctionsPeriodic Functions•If , what does equal?•Possible solutions for if :•Indefinite IntegralsSince there are infinite antiderivatives for any given function, we clump those antiderivatives into a family of functions and call them the indefinite integral of If is the indefinite integral of .•To find the indefinite integral of f(x), you reverse the process of finding a derivative derivative and add C (to indicate your answer is the whole family).•Example: •Generalize: •The sum and constant multiplier rules still work:Sums:Constant Multiplier:•The Rules (print a formula page): and and and •Find the indefinite integrals:1) 2) 3) 4) 5) 6) •Find the indefinite integral for each:1) 3) 2) 4) •Mike the bowling ballSuppose Mike the Bowling Ball gets dropped out of an airplane at 5,000 feet. Presuming no air drag, how long does it take for Mike to hit the ground? How fast will he be going? Gravity = 32 feet per second squared.You are now ready to do the Chapter 6, Section 2 Wiley and Review