APMA 1110 Final Questions with Answers (100% Correct Answers)

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APMA 1110 Final Questions with Answers (100% Correct
Answers)

ILATE Answer: Inverse trig, log, algebraic, trig, exponential

sinx is odd Answer: u=-cosx

cosx is odd Answer: u=sinx

cosx is even, sinx is even Answer: trig identity

1. cos^2(x)= Answer: (1+cos2x)/2

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

secx is even Answer: u=tanx

secx is odd and tanx is odd Answer: u=secx

Int(tanx)= Answer: ln|secx|+C

Int(secx)= Answer: ln|secx+tanx|+C

√a^2-x^2 Answer: x=asin@

√a^2+x^2 Answer: x=atan@



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√x^2-a^2 Answer: x=asec@

2. cos^2(x)= Answer: 1-sin^2(x)

2. sec^2(x)= Answer: 1+tan^2(x)

tan^2(x)= Answer: sec^2(x)-1

sin(2x)= Answer: 2sinxcosx

int(b^x) Answer: b^x/lnb

deltax/3, deltax= Answer: b-a/n

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

int(A/(x+a)) Answer: Aln|x+a|+C

int ((Ax)/(x^2+a)) Answer: (A/2)ln(x^2+a)+C

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

arc length/ds Answer: int(√1+(dy/dx)^2)

surface area Answer: int(2pirds)

(x̄, ȳ) Answer: (My/m, Mx/m)



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