Calculus 2 - Exam Complete Questions And Answers | Verified

Calculus 2 - Exam Complete
Questions And Answers | Verified
Substitution CORRECT ANSWERS integral (f(g(x)) g'(x) dx) = integral (f(u) du)
u=g(x)
du=g'(x)dx

Integration by parts CORRECT ANSWERS integral (u dv) = uv - integral (v du)

LIPET CORRECT ANSWERS log
inverse
polynomial/power
exponential
trig

Powers of sine/cosine CORRECT ANSWERS integral (sin^nx cos^mx) dx

integral (sin^nx cos^mx) dx
n odd CORRECT ANSWERS u=cosx
du=-sinx dx

integral (sin^nx cos^mx) dx
m odd CORRECT ANSWERS u=sinx
du=cosx dx

integral (sin^nx cos^mx) dx
both are odd CORRECT ANSWERS either

integral (sin^nx cos^mx) dx
both even CORRECT ANSWERS half angle

Powers of secant/tangent CORRECT ANSWERS integral (tan^mx sec^nx) dx

integral (tan^mx sec^nx) dx
m odd CORRECT ANSWERS u=secx
du=secxtanx dx

integral (tan^mx sec^nx) dx
n even CORRECT ANSWERS u=tanx
du=sec^2x dx

Products CORRECT ANSWERS product to sum

sqrt(x^2+a^2) CORRECT ANSWERS atan(theta)=x