MATH 141 Exam 2 Formulas

f^-1’(b)

1/f’(a)

derivative of arcsin(x/a)

1/(sqrt(a^2 - x^2))

derivative of arctan(x/a)

1/(x^2 + a^2)

derivative of arcsec(x/a)

1/(x sqrt(x^2 - a^2))

integral of uv’ dx

uv - integral of u’v dx

integral of arcsin

x arcsin(x) + sqrt(1-x^2)

integral of arctan

x arctan(x) - (ln(x^2 + 1))/2

integral of arcsec

x arcsec(x)+(ln(sqrt(1 - 1/x^2)-1)-ln(sqrt(1 - 1/x^2)+1))/2