antiderivatives (indefinite integrals) to memorize

integral x^n dn

x^n+1/n+1 +c

integral cosx dx

sinx +c

integral sinx dc

-cosx +c

integral sec²x dx

tanx + c

integral csc²x dx

-cotx+c

integral secxtanx dx

secx + c

integral cscxcotx dx

-cscx + c

integral of e^x

e^x + c

integral b^x dx

1/lnb (b^x) + C

integral 1/x dx

ln|x| +c

integral 1/(1+x²) dx

arctanx +c

integral 1/sqrt (1-x²)

arcsinx + c

integral 1/xsqrt(x²-1)

arcsecx +c