APMA 1110 Final Exam Questions and Answers Graded A+

APMA 1110 Final Exam Questions and Answers Graded A+

ILATE - Answers Inverse trig, log, algebraic, trig, exponential

sinx is odd - Answers u=-cosx

cosx is odd - Answers u=sinx

cosx is even, sinx is even - Answers trig identity

1. cos^2(x)= - Answers (1+cos2x)/2

2. sin^2(x)= - Answers (1-cos2x)/2

secx is even - Answers u=tanx

secx is odd and tanx is odd - Answers u=secx

Int(tanx)= - Answers ln|secx|+C

Int(secx)= - Answers ln|secx+tanx|+C

√a^2-x^2 - Answers x=asin@

√a^2+x^2 - Answers x=atan@

√x^2-a^2 - Answers x=asec@

2. cos^2(x)= - Answers 1-sin^2(x)

2. sec^2(x)= - Answers 1+tan^2(x)

tan^2(x)= - Answers sec^2(x)-1

sin(2x)= - Answers 2sinxcosx

int(b^x) - Answers b^x/lnb

deltax/3, deltax= - Answers b-a/n

E< or = - Answers K(b-a)^5/180n^4

int(A/(x+a)) - Answers Aln|x+a|+C

int ((Ax)/(x^2+a)) - Answers (A/2)ln(x^2+a)+C

int(A/(x^2+a^2)) - Answers (A/a)tan^-1(x/a)+C

arc length/ds - Answers int(√1+(dy/dx)^2)