LIST OF BASIC INTEGRALS Z - University of Washington
LIST OF BASIC INTEGRALS
k dx = kx + C
xn
dx
=
n
1 +
1 xn+1
+
C
(n = -1)
1 dx = ln |x| + C x
ex dx = ex + C (and more generally:
cos(x) dx = sin(x) + C
ax dx
=
1 ln(a)
ax
+
C
)
sec2(x) dx = tan(x) + C
sec(x) tan(x) dx = sec(x) + C
sin(x) dx = - cos(x) + C
csc2(x) dx = - cot(x) + C
csc(x) cot(x) dx = - csc(x) + C
1
1 +
x2
dx
=
tan-1(x)
+
C
1 dx = sin-1(x) + C 1 - x2
f (x) + g(x) dx = f (x) dx +
g(x) dx
cf (x) dx = c f (x) dx
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