Summary All formulae used in Integral Calculus

A Brief
Table of Integrals

, A Brief Table of Integrals




uaC, a1 a>0

sin u du=- cos u+C
a. co u du = sin u +C


az6)
C, n -1
5. (az +b dz
-

aln1))

6.(az+b)'-n laz ++C
7. z(az + b)" dz = laz b)**|
- n -1, -2



.zla
8 +)"dz -llar+b+C

dz
10. z(axb)

2 (Vaz + 6)"** n -2
11.(az +b" dz - +C,
n+2
dr
12. ardr 2Vaz + b+ b -

Vaz + b

dr
13. (a) 2 tan
V +C if b< 0
rVaz +b V-b
(b)
(b)
ds artbV6+C
Vazb+ VB
if b>0



C

1.
dr Vaz - +c
br


16. a2+2
-taa+C
dr
17. (a2 2y2 20(a3+ 22+2t a n + C

18 +c
dz
19.
(a2-2)2 2o~(g~-720J a-
dx
sinh +C =In |z +Va?+2+
20. C
Va 4L