integrals trig

sinu

\-cosu+c

cosu

sinu+c

tanu

\-ln|cosu|+c

cotu

ln|sinu|+c

secu

ln|secu+tanu|+c

cscu

\-ln|cscu+cotu|+c

d/dx lnu

u’/u

d/dx e^u

e^u\*u’

(f^-1)’(x)

1/f’(f^-1(x))

d/dx a^u

ln(a) a^u\*u’

d/dx (arcsinu)

u’/sqrt(1-u^2)

d/dx (arccosu)

\-u’/sqrt(1-u^2)

d/dx (arctanu)

u’/1+u^2

d/dx arccotu

\-u’/1+u^2

d/dx arcsecu

u’/ |u| sqrt(u^2-1)

d/dx arccscu

\-u’/ |u| sqrt(u^2-1)

1/u

ln |u| +c

e^u

e^u +c

a^u

1/(lna) \*a^u +c

du/sqrt(a^2-u^2)

arcsin(u/a)+c

du/a^2+u^2

1/a(arctan(u/a))+c

du/u sqrt(u^2-a^2)

(1/a)arcsec(|u|/a)+c