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Calc II
Basic Integrals Everyone Should Know
14
Mathematics
Undergraduate 2
05/22/2013
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Term
∫xn dx
 Definition

xn+1

 + c
n + 1
Term
∫ax dx
 Definition

ax

 + c
ln a
Term
∫cos(x) dx
 Definition
sin(x) + C
Term
∫tan(x) dx
 Definition
ln|sec(x)| + C
Term
∫sec2(x) dx
 Definition
tan(x) + C
Term
∫sec(x) tan(x) dx
 Definition
sec(x) + C
Term
∫

1

 dx
√x
Definition
2√x + C
Term
∫ 1 dx
x2 + a2
Definition
1 tan-1( x ) + C
a a
Term
∫ex dx
 Definition
ex + C
Term
∫sin(x) dx
 Definition
-cos(x) + C
Term
∫cot(x) dx
 Definition
-ln|csc(x)| + C
Term
∫csc2(x) dx
 Definition
-cot(x) + C
Term
∫csc(x) cot(x) dx
 Definition
-csc(x) + C
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