Useful Identities. arccos x = /2 - arcsin x (-1 <= x <= 1) arccsc x = /2 - arcsec x (|x| >= 1) arccot x = /2 - arctan x (for all x)
Table of Integrals Basic Forms Z x n dx= 1 n+1 x n+1 +c (1) Z 1 x dx=lnx+c (2) Z udv=uv Z vdu (3) Z 1 ax+b dx= 1 a lnjax+bj+c (4) Integrals of Rational Functions Z 1 (x+a) 2 dx= 1 x+a +c (5) Z (x+a) n dx= (x+a) n+1 n+1 +c;n6=1 ...
II. Products of e x, , 8. 9. 10. 11. 12. III. Integration by Parts. 13. ; [in other notation: ] IV. Products of x n with , e x, and - here . 14. 15.