Page 9 - Formula-All

B. Tech. Semester-I (All Branch) Important Formulas
Integration Formulas

(A) Basic Integration:

Z
(1) 1 dx = x + c ; where c is the constant after integration

Z Z
(2) af(x) dx = a f(x) dx + c

Z Z Z
(3) [f(x) + g(x)] dx = f(x) + g(x)

Z Z Z
(4) [f(x) − g(x)] dx = f(x) − g(x)

Z
1
(5) dx = log x + c
x

Z n
x
n
(6) x dx = + c
n + 1

Z Z ax
e
x
x
(7) e dx = e + c and e ax dx = + c
a

a
Z x
x
(8) a dx = + c
log a

Z
Z Z Z
du
(9) u · v dx = u v dx − v dx dx + c
dx

Mr. Snehal D. Patel (Assistant Professor - Mathematics) Page 6 of 9